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Paul Marx | Principles of survey research
Principles	of	Survey	Research
1
introductory	course
Paul Marx | Principles of survey research
Contents
1. Introduction
1.1	Market	Research	and	Survey
1.2	Types	of	Market	Research
2. Survey:	Measurement	and	Scaling
2.1	Introduction
2.2	Comparative	Scales
2.3	Non-Comparative	Scales
2.4	Multi-item	Scales
2.5	Reliability	and	Validity
3. Questionnaire
3.1	Asking	Questions
3.2	Overcoming	Inability	to	Answer
3.3	Overcoming	Unwillingness	to	Answer
3.4	Increasing	Willingness	of	Respondents
3.5	Determining	the	Order	of	Questions
3.6	What’s	Next?
4. Sampling
4.1	Non-probability	Sampling
4.2	Probability	Sampling
4.3	Choosing	Non-probability	vs.	Probability	Sampling
4.4	Sample	Size
5. Data	Analysis:	
A	Concise	Overview	of	Statistical	Techniques
5.1	Descriptive	Statistics:
Some	popular	Displays	of	Data
5.1.1	Organizing	Qualitative	Data
5.1.2	Organizing	Quantitative	Data
5.1.3	Summarizing	Data	Numerically
5.1.4	Cross-Tabulations
5.2	Inferential	Statistics:	
Can	the	Results	Be	Generalized	to	Population?
5.2.1	Hypotheses	Testing
5.2.2	Strength	of	a	Relationship	in	Cross-Tabulation
5.2.3	Describing	the	Relationship	between	Two	(Ratio	Scaled)	Variables
6. Advanced	Techniques	of	Market	Analysis:
A	Brief	Overview	of	Some	Useful	Concepts	
6.1	Conjoint-Analysis
6.2	Market	Simulations
6.3	Segmentation
6.4	Perceptual	Positioning	Maps
7. Reporting	Results
2
Paul Marx | Principles of survey research
1.Introduction
1.1	Market	Research	and	Survey
1.2	Types	of	Market	Research
3
Paul Marx | Principles of survey research
1.Introduction
1.1	Market	Research	and	Survey
1.2	Types	of	Market	Research
4
Paul Marx | Principles of survey research
What	is	Research?
Research	is
the	systematic	investigation	into	and	study	of	
materials	and	sources	in	order	to	establish	facts	
and	reach	new	conclusions.
(Oxford	Dictionaries)
5
Research	is
the	searching for	and	gathering of	information
and	ideas	in	response	to	a	specific	question.
(Unknown	author)
Paul Marx | Principles of survey research
Survey	Research
6
Survey -
The	most	popular	technique	for	gathering	
primary	data	in	which	a	researcher	interacts	with	
people	to	obtain	facts,	opinions,	and	attitudes.
Paul Marx | Principles of survey research
The	Essence	of	Market	Research
7
Researcher
Decision	Maker
Obvious	Measurable	
Symptoms
Real	Business/Decision	
Problems
Unhappy	
Customers
Decreased	
Market	
Share
Loss	
of	
Sales
Low	
Traffic
Low-Quality	
Products
Poor	Image
Marginal	
Performance	
of	Sales	Force
Inappropriate	
Delivery	System
Unethical	Treatment	
of	Customers
Decision	Problem	Definition
Paul Marx | Principles of survey research
Who Why
Sociology and	Political	Science Public	opinion	research,	identification	of	population's	attitudes	towards	socially	important	phenomena,	events,	and	facts…
Psychology
Personality	tests,	intelligence	tests,	identification	of	individual	strengths	and	weaknesses	psychological	stability,	cognitive	
disorders,	social	influence…
Human	Resources	
Measurement	of	employee	satisfaction,	loyalty,	potential,	personality	traits	and	leadership	skills,	productivity	and	quality	of	
work,	professional	fit,	resistance	to	stress,	social	intelligence,	work-life	balance…
Marketing
Market	and	consumer	research,	measurement	of	perception	of	image,	preferences,	attitudes,	satisfaction	with	product	
and/or	service,	loyalty,	willingness	to	pay;	segmentation,	positioning,	new	product	development,	evaluation	of	market	
potentials,	pricing	and	price	setting,	advertising	tests,	ease	of	web-site	navigation,	user	feedback,	willingness	to	
recommend...	
Science	(in	general)
Study	of	relationships	between	two	or	more	variables,	factors,	phenomena;	development	of	scales	and	survey	techniques	
for	practical	use…	
Education Knowledge	tests	(quizzes,	exams),	evaluation	of	students	and/or	teachers…
… …
Practical	Application	of	Surveys
8
Paul Marx | Principles of survey research
Market	Research	Process
Define	the
Research	problem
Develop	the
research	plan
Collect
data
Analyze
data
Report
findings
9
⁻ identify	and	clarify	
information	needs
⁻ define	research	
problem	and	
questions
⁻ specify	research	
objectives
⁻ confirm	information	
value
If	a	problem	is	vaguely	
defined,	the	results	can	
have	little	bearing	on	the	
key	issues
Decide	on
⁻ budget
⁻ data	sources
⁻ research	approaches
⁻ sampling	plan
⁻ contact	methods
⁻ methods	of	data	
analysis
The	plan	needs	to	be	
decided	upfront	but	
flexible	enough	to	
incorporate	changes	or	
iterations	
⁻ collect	data	according	
to	the	plan	or
⁻ employ	an	external	
firm
This	phase	is	the	most	
costly	and	the	most	liable	
to	error
Analyze	data	
⁻ statistically	or
⁻ subjectively
and	infer	answers	and	
implications
Type	of	data	analysis	
depends	on	type	of	
research
- Formulate	
conclusions	and	
implications	from	
data	analysis
- prepare	finalized	
research	report
Overall	conclusions	to	be	
presented	rather	than	
overwhelming	statistical	
methodologies
Paul Marx | Principles of survey research
When	NOT to	Conduct	Market	Research
Occasion Comments
Vague	objectives
When	managers	cannot	agree	on	what	they	need	to	know	to	make	a	decision.	Market	research	cannot	be	helpful	unless	it	is	
probing	a	particular	issue.
Closed	mindset When	decision	has	already	been	made.	Research	is	used	only	as	a	rubber	stamp	of	a	preconceived	idea.
Late	timing When	research	results	come	too	late	to	influence	the	decision.
Poor	timing If	a	product	is	in	a	“decline”	phase	there	is	little	point	in	researching	new	product	varieties.
Lack	of	resources
If	quantitative	research	is	needed,	it	is	not	worth	doing	unless	a	statistically	significant	sample	can	be	used.		When	funds	are
insufficient	to	implement	any	decisions	resulting	from	the	research.
Costs	outweigh	benefits The	expected	value	of	information	should	outweigh	the	costs	of	gathering	an	analyzing	the	data..
Results	not	actionable Where,	e.g.,	psychographic	data	is	used	which	will	not	help	he	company	form	firm	decisions.
10
Paul Marx | Principles of survey research
1.Introduction
1.1	Market	Research	and	Survey
1.2	Types	of	Market	Research
11
Paul Marx | Principles of survey research
Types	of	Market	Research	
12
By	Objectives
• Exploratory
(a.k.a.	diagnostic)
• Descriptive
• Causal
(a.k.a.	predictive,	experimental)
By	Data	Source
• Primary
• Secondary
By	Methodology
• Qualitative
• Quantitative
Paul Marx | Principles of survey research
Market	Research	by	Objectives
•Explaining	data	or	actions	to	help	define	the	problem
•What	was	the	impact	on	sales	after	change	in	the	package	design?
•Do	promotions	at	POS	influence	brand	awareness?
Exploratory
a.k.a.	diagnostic
•Gathering	and	presenting	factual	statements:	
who,	what,	when,	where,	how
•What	is	historic	sales	trend	in	the	industry?
•What	are	consumer	attitudes	toward	our	product?
Descriptive
•Probing	cause-and-effect	relationships;	“What	if?”
•Specification	of	how	to	use	the	research	to	predict	
•the	results	of	planned	marketing	decisions
•Does	level	of	advertising	determine	level	of	sales?
Causal
a.k.a.	predictive,	experimental
13
Survey	
of a	small
sample,	focus
groups,	depth
interviews,,…
Survey
of	a	large	
representative	
sample,	
observation,	…
Experiments,	
A&B	tests,	
consumer
panels,	…
Uncertainty	influences	the	type	of	research
UncertainCertain
Paul Marx | Principles of survey research
Market	Research	by	Data	Source
14
• Original	research	to	collect	new	raw	data	for	a	specific	
reason.	This	data	is	then	analyzed	and	may	be	published	
by	the	researcher.	
Primary
• Research	data	that	has	been	previously	collected,	
analyzed	and	published	in	the	form	of	books,	articles,	
etc.	
Secondary
Survey,	
Interviews,	
observation,	
experiments,	…
Literature
review,	library,	
web,	database,	
archive,…
Paul Marx | Principles of survey research
Market	Research	by	Methodology
15
• Involves	collecting	and	measuring	data
• Often	requires	large	data	sets.	For	example,	large	number	of	people.
• Uses	statistical	methods	to	analyze	data
• Aims	to	achieve	objective/scientific	view	of	the	subject
Quantitative
• Involves	understanding	human	behavior	and	the	reasons	behind	it
• Focus	is	on	individuals	and	small	groups
• Objectivity	is	not	the	goal,	the	aim	is	to	understand	one	point	of	view,	not	all	
points	of	view.
• Usually	not	representative	
Qualitative
Survey
of	a	large	
representative	
sample,	
observation,	…
Survey	
of a	small
sample,	focus
groups,	depth
interviews,,…
Paul Marx | Principles of survey research 16
APPARENT
TRUTH
Literature	Review
InterviewSurvey
Triangulation
Robson	(1998),	Visocky	&	Visocky	(2009)
Paul Marx | Principles of survey research 17
Paul Marx | Principles of survey research
2.Survey:	Measurement	and	Scaling
2.1	Introduction
2.2	Comparative	Scales
2.3	Non-Comparative	Scales
2.4	Multi-item	Scales
2.5	Reliability	and	Validity
18
Paul Marx | Principles of survey research
2.Survey:	Measurement	and	Scaling
2.1	Introduction
2.2	Comparative	Scales
2.3	Non-Comparative	Scales
2.4	Multi-item	Scales
2.5	Reliability	and	Validity
19
Paul Marx | Principles of survey research
Measurement
Measurement –
assigning	numbers	or	other	symbols	to	
characteristics	of	objects	according	to	certain	pre-
specified	rule
- one-to-one	correspondence	between	the	
numbers	and	characteristics	being	
measured
- the	rules	for	assigning	numbers	should	be	
standardized	and	applied	uniformly
- rules	must	not	change	over	objects	or	time
20
Paul Marx | Principles of survey research
Scaling
Scaling	–
involves	creating	a	continuum	upon	
which	measured	objects	are	located.
21
Extremely
favorable
Extremely	
unfavorable
Paul Marx | Principles of survey research
Primary	Scales	of	Measurement
22
• numbers	serve	as	labels	for	identifying	and	classifying	objects
• not	continuosNominal
• numbers	indicate	the	relative	positions	of	objects
• but	not	the	magnitude	of	difference	between	themOrdinal
• differences	between	objects	can	be	compared
• zero	point	is	arbitraryInterval
• zero	point	is	fixed
• ratios	of	scale	values	can	be	computedRatio
a.k.a.	metric
or
1 2 1 2 1 2
NOT
3
1
2
1 2 3
My	preference	as	a	snack	food
moreless
0 25 50 75 100
Weight(kg)
Paul Marx | Principles of survey research
Primary	Scales	of	Measurement
Scale Basic	Characteristics
Common	
Examples
Marketing	
Examples
Permissible	Statistics
Descriptive Inferential
Nominal Numbers	identify	and	classify	
objects
Social	security	
numbers,	numbering	
of	football	players
Brand	numbers,	store	
types	sex,	
classification
Percentages,	mode Chi-square,	
binomial	test
Ordinal Numbers	indicate	the	relative	
positions	of	the	objects	but	
not	the	magnitude	of	
differences	between	them
Quality	rankings,	
ranking	of	teams	in	
tournament
Preference	rankings,	
market	position,	social	
class
Percentile,	median Rank-order	
correlation,	
Friedman	ANOVA
Interval Differences	between	objects	
can	be	compared;	zero	point	
is	arbitrary
Temperature	
(Fahrenheit,	
Centigrade)
Attitudes,	opinions,	
index	numbers
Range,	mean,	
standard	deviation
Product-moment	
correlations,	t-tests,	
ANOVA,	regression,	
factor	analysis
Ratio Zero	point	is	fixed;	ratios	of	
scale	values	can	be	
compared
Length,	weight,	
time,	money
Age,	income,	costs,	
sales,	market	shares
Geometric	mean,	
harmonic	mean
Coefficient	of	
variation
23
Paul Marx | Principles of survey research
Classification	of	Scaling	Techniques
Scaling	
Techniques
Comparative	
Scales
Paired	
Comparison
Rank	Order Constant	Sum
Q-Sort	&	
others
Non-
comparative	
Scales
Continuous	
Rating	Scales
Itemized	
Rating	Scales
Likert
Semantic	
Differential
Stapel
24
Paul Marx | Principles of survey research
Comparison	of	Scaling	Techniques
25
Comparative
Scales
• involve	the	direct	comparison	
of	stimulus	objects.
• data	must	be	interpreted	in	
relative	terms
• have	only	ordinal and	rank-
order properties
Non-comparative
Scales
• each	object	is	scaled	
independently
• resulting	data	is	generally	
assumed	to	be	interval or	
ratio scaled
- nature	of	the	research
- variability	in	the	population
- statistical	considerations
Paul Marx | Principles of survey research
2.Survey:	Measurement	and	Scaling
2.1	Introduction
2.2	Comparative	Scales
2.3	Non-Comparative	Scales
2.4	Multi-item	Scales
2.5	Reliability	and	Validity
26
Paul Marx | Principles of survey research
Classification	of	Scaling	Techniques
Scaling	
Techniques
Comparative	
Scales
Paired	
Comparison
Rank	Order Constant	Sum
Q-Sort	&	
others
Non-
comparative	
Scales
Continuous	
Rating	Scales
Itemized	
Rating	Scales
Likert
Semantic	
Differential
Stapel
27
Paul Marx | Principles of survey research
Relative	Advantages	of	Comparative	Scales
28
+ small	differences	between	stimulus	
objects	can	be	detected
+ same	known	reference	points	for	all	
respondents
+ easy	to	understand	and	to	use
+ involve	fewer	theoretical	assumptions
+ tend	to	reduce	halo	or	carryover	
effects	from	one	judgement	to	another
Advantages
- have	only	ordinal	and	rank-order	
properties	⟶ limited	set	of	statistical	
methods	available	for	analysis
- data	must	be	interpreted	in	relative	
terms
- Inability	to	generalize	beyond	the	set	
of	compared	objects
Disadvantages
Paul Marx | Principles of survey research
Comparative	Scales:	Paired	Comparison
29
Respondent	is	presented	with	two	objects	
and	asked	to	select	one	according	to	
some	criterion
We	are	going	to	present	you	with	ten	pairs	of	beer	brands.	For	
each	pair,	please	indicate	which	one	of	the	two	brands	of	beer	
you	would	prefer	to	purchase.
Heineken Beck’s Coors Budweiser Miller
Heineken
Beck’s
Coors
Budweiser
Miller
#Preferred 3 2 0 4 1
Paired	Comparison
Paul Marx | Principles of survey research
Paired	Comparison	Scales:	Examples
30
Paul Marx | Principles of survey research
Paired	Comparison:	Pros-and-Cons
31
+ direct	comparison	and	overt	choice
+ good	for	blind	tests,	physical	products,	and	
MDS
+ allows	for	calculation	of	percentage	of	
respondents	who	prefer	one	stimulus	to	
another	
+ can	assess	rank-orders	of	stimuli	(under	
assumption	of	transitivity)
+ possible	extensions:	“no	difference”	
alternative;	graded	comparison
Advantages
- #	of	comparisons	grows	quicker	than	#	of	
stimuli	(for	n	objects	n(n-1)/2	comparisons)
- presentation	order	bias	possible
- preference	of	A	over	B	does	not	imply	
subject’s	liking	of	A
- little	similarity	to	real	choice	situation	with	
multiple	alternatives
- violations	of	transitivity	may	occur
Disadvantages
Paul Marx | Principles of survey research
>
>
Ordinal	Data:	
violations	of	transitivity	in	paired	comparison
32
Paul Marx | Principles of survey research
Ordinal	data:	
violations	of	transitivity	when	aggregating	preferences
33
Respondent	#1
Respondent	#2
Respondent	#3
Votes	count
Result:
2	vs	1
2	vs	1
2	vs	1
Apple	is	both	the	best	and	the	worst	alternative.
Aggregated	preferences	of	the	group	are	inconsistent!
Voting
Paul Marx | Principles of survey research
Comparative	Scales:	Rank	Order	Scaling
34
Respondents	are	presented	with	several	
objects	simultaneously	and	are	asked	to	
order	or	rank	them	according	to	some	
criterion
Rank	the	various	brands	of	soft	drinks	in	order	of	preference.	
Begin	by	picking	out	the	one	brand	that	you	like	most	and	
assign	it	a	number	1.	Then	find	the	second	most	preferred	brand	
and	assign	it	a	number	2.	Continue	this	procedure	until	you	have	
ranked	all	the	brands	of	soft	drinks in	order	of	preference.	The	
least	preferred	brand	should	be	assigned	a	rank	of	5.
No	two	brands	should	receive	the	same	rank	number.
The	criterion	of	preference	is	entirely	up	to	you.	There	is	no	right	
or	wrong	answer.	Just	try	to	be	consistent.
Rank	Order	Scaling
Brand Rank	Order
Pepsi ______________
Coke ______________
Red Bull ______________
Mountain	Dew ______________
Kvas ______________
Paul Marx | Principles of survey research
Rank	Oder	Scales:	Example
35
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Paul Marx | Principles of survey research
Rank	Oder	Scales:	Examples
36
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Paul Marx | Principles of survey research
Rank	Oder	Scales:	Example
37
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Paul Marx | Principles of survey research
Rank	Oder	Scales:	Pros-and-Cons
38
+ direct	comparison
+ more	realistic	than	paired	comparison
+ #	of	comparisons	is	only	(n-1)
+ easier	to	understand
+ takes	less	time
+ no	intransitive	responses
+ can	be	converted	to	paired	
comparison	data
+ good	for	measuring	preferences	of	brands	
or	attributes;	conjoint	analysis
Advantages
- preference	of	A	over	B	does	not	imply	
subject’s	liking	of	A
- no	zero	point	/	separation	between	liking	
and	disliking
- only	ordinal	data
- violations	of	transitivity	may	occur
Disadvantages
Paul Marx | Principles of survey research
Comparative	Scales:	Constant	Sum	Scaling
39
Respondents	allocate	a	constant	sum	of	
units	(points,	dollars,	chips,	%)	among	a	
set	of	stimulus	objects	with	respect	to	
some	criterion
Below	are	five	attributes	of	cars.	Please	allocate	100	points	
among	the	attributes	so	that	your	allocation	reflects	the	relative	
importance	you	attach	to	each	attribute.	The	more	points	an	
attribute	receives,	the	more	important	the	attribute	is.	If	an	
attribute	is	not	at	all	important,	assign	it	zero	points.	If	an	
attribute	is	twice	as	important	as	some	other	attribute,	it	should	
receive	twice	as	many	points.
Constant	Sum	
Attribute Points
Speed 0
Comfort 15
Gear	Type 5
Fuel	Type
(gasoline/diesel)
35
Price 45
sum 100
Paul Marx | Principles of survey research
Constant	Sum	Scaling:	Example	of	Analysis
40
Attribute Segment	1 Segment	2 Segment	3
Speed 0 17 53
Comfort 15 23 30
Gear	Type 5 21 10
Fuel	Type
(gasoline/diesel)
35 12 7
Price 45 27 0
sum 100 100 100
Average	response	of	three	segments
Paul Marx | Principles of survey research
Constant	Sum	Scaling:	Example
41
©ExavoGmbH,	exavo.de
Paul Marx | Principles of survey research
Constant	Sum	Scaling:	Examples
42
Paul Marx | Principles of survey research
Constant	Sum	Scaling:	Pros-and-Cons
43
+ allows	for	fine	discrimination	among	
stimulus	objects	without	requiring	too	
much	time
+ ratio	scaled	⟶ flexible	choice	of	data	
analysis	methods
Advantages
- results	are	limited	to	the	context	of	stimuli	
scaled,	i.e.,	not	generalizable	to	other	
stimuli	not	included	in	the	study
- relatively	high	cognitive	burden	for	
respondents,	esp.	when	#	of	items	is	large
- prone	to	calc.	errors	(e.g.,	allocation	
of	108	or	94	points)
Disadvantages
Paul Marx | Principles of survey research
Comparative	Scales:	Q-Sort	Scaling
44
A	rank	order	procedure	in	which	objects	are	
sorted	into	piles	based	on	similarity	with	
respect	to	some	criterion.	Usually	used	to	
discriminate	among	a	relatively	large	number	
(60-140)	of	objects	quickly.
The	number	of	objects	in	each	pile	is	limited,	
usually	so	that	all	piles	imitate	normal	
distribution.
To	prevent	epidemics,	the	Ministry	of	Health	has	developed	the	
following	25	measures	recommended	for	implementation	in	
hospitals.	Please	distribute	these	measures	for	preventing	the	
spread	of	infections	according	to	their	importance	using	the	
scheme	below.	Please	allocate	only	one	measure	per	box.		Q-Sort
not	at	all
important
extremely
important
Paul Marx | Principles of survey research
2.Survey:	Measurement	and	Scaling
2.1	Introduction
2.2	Comparative	Scales
2.3	Non-Comparative	Scales
2.4	Multi-item	Scales
2.5	Reliability	and	Validity
45
Paul Marx | Principles of survey research
Classification	of	Scaling	Techniques
Scaling	
Techniques
Comparative	
Scales
Paired	
Comparison
Rank	Order Constant	Sum
Q-Sort	&	
others
Non-
comparative	
Scales
Continuous	
Rating	Scales
Itemized	
Rating	Scales
Likert
Semantic	
Differential
Stapel
46
Paul Marx | Principles of survey research
Non-Comparative	Scales:	Continuous	Rating	Scale
47
Respondents	rate	objects	by	placing	a	mark	at	
the	appropriate	position	on	a	line	that	runs	
from	one	extreme	of	the	criterion	variable	to	
the	other.
How	would	you	rate	Wal-Mart	as	a	department	store?
Continuous	Rating	Scale
Probably	
the	worst
Probably	
the	best
Version	1
х
Probably	
the	worst
Probably	
the	best
Version	2
х0 10 20 30 40 50 60 70 80 90 100
Probably	
the	worst
Probably	
the	best
Version	3
х0 20 40 60 80 100
very	bad very	good
neither	good	
nor	bad
Probably	
the	worst
Probably	
the	best
Version	4
very	bad very	good
neither	good	
nor	bad
76
Paul Marx | Principles of survey research
Continuous	Rating	Scale:	Perception	Analyzer
48
Paul Marx | Principles of survey research
Itemized	Rating	Scales:	Likert	Scale
49
Requires	respondents	to	indicate	a	degree	of	
agreement	or	disagreement	with	each	of	a	
series	of	statements	about	the	stimulus	object	
within	typically	five	to	seven	response	
categories.
Listed	below	are	different	opinions	about	7-Eleven.	Please	
indicate	how	strongly	you	agree	or	disagree	with	each	by	using	
the	following	scale:
Likert Scale Strongly	
disagree
Disagree Neither	agree	
nor	disagree
Agree Strongly	
agree
7-Eleven	sells	high-quality	
merchandise
[1] [x] [3] [4] [5]
7-Eleven	has	poor	in-store	
service
[1] [x] [3] [4] [5]
I	like	to	shop	in	7-Eleven [1] [2] [x] [4] [5]
7-Eleven	does	not	offer	a	
good	mix	of	different	brands	
within	a	product	category
[1] [2] [3] [x] [5]
The	credit	policies	at	7-Eleven	
are	terrible
[1] [2] [3] [x] [5]
I	do	not	like	advertising	done	
by	7-Eleven
[1] [2] [3] [x] [5]
7-Eleven	charges	fair	prices [1] [x] [3] [4] [5]
NOTICE	the	reversed	scoring	of	items	2,4,5,	and	6.	Reverse	the	scale	for	these	items	prior	analyzing	
to	be	consistent	with	the	whole	set	of	items,	i.e.	a	higher	score	should	denote	a	more	favorable	attitude.
Paul Marx | Principles of survey research
Likert	Scale:	Examples
50
Paul Marx | Principles of survey research
Some	Commonly	Used	Scales	in	Marketing
51
Construct Scale	Descriptors
Attitude Very	bad Bad Neither	Bad	Nor	
Good
Good Very	Good
Importance Not	at	All	
Important
Not	Important Neutral Important Very	
Important
Satisfaction Very	Dissatisfied (Somewhat)	
Dissatisfied
Neither	Dissatisfied	
Nor	Satisfied	/	
Neutral
(Somewhat)	
Satisfied
Very	Satisfied
Purchase	Intention Definitely	Will	Not	
Buy
Probably	will	Not	
Buy
Might	or	Might	Not	
Buy
Probably	Will	
Buy
Definitely	Will	
Buy
Purchase	Frequency Never Rarely Sometimes Often Very	Often
Agreement Strongly	Disagree Disagree Neither	Agree	Nor	
Disagree
Agree Strongly	Agree
Paul Marx | Principles of survey research
Itemized	Rating	Scales:	Semantic	Differential
52
A	rating	scale	with	end	point	associated	with	
bipolar	labels	that	have	semantic	meaning.	
Respondents	are	to	indicate	how	accurately	or	
inaccurately	each	term	describes	the	object.
This	part	of	the	study	measures	what	certain	department	stores	
mean	to	you	by	having	you	judge	them	on	a	series	of	descriptive	
scales	bounded	at	each	end	by	one	of	two	bipolar	adjectives.	
Please	mark	(X)	the	blank	that	best	indicates	how	accurately	
one	or	the	other	adjective	describes	what	the	store	means	to	
you.	Please	be	sure	to	mark	every	scale;	do	not	omit	any	scale.Semantic	Differential
Powerful [		] [		] [		] [		] [X] [		] [		] Weak
Unreliable [		] [		] [		] [		] [		] [X] [		] Reliable
Modern [		] [		] [		] [		] [		] [		] [X] Old	fashioned
Cold [		] [		] [		] [		] [		] [X] [		] Warm
Careful [		] [X] [		] [		] [		] [		] [		] Careless
NOTE:	The	negative	adjective	sometimes	appears	at	the	left	side	of	the	scale	and	sometimes	
at	the	right.	This	controls	the	tendency	of	some	respondents,	particularly	those	with	very	positive	
or	very	negative	attitudes,	to	mark	the	right- or	left-hand	sides	without	reading	the	labels.
7-Eleven	is:
Paul Marx | Principles of survey research
Semantic	Differential	Scale:	Example
53
Rugged [		] [		] [		] [		] [ ] [		] [		] Delicate
Excitable [		] [		] [		] [		] [ ] [		] [		] Calm
Uncomfortable [		] [		] [		] [		] [ ] [		] [		] Comfortable
Dominating [		] [		] [		] [		] [ ] [		] [		] Submissive
Thrifty [		] [		] [		] [		] [ ] [		] [		] Indulgent
Pleasant [		] [		] [		] [		] [ ] [		] [		] Unpleasant
Contemporary [		] [		] [		] [		] [ ] [		] [		] Non-contemporary
Organized [		] [		] [		] [		] [ ] [		] [		] Unorganized
Rational [		] [		] [		] [		] [ ] [		] [		] Emotional
Youthful [		] [		] [		] [		] [ ] [		] [		] Mature
Formal [		] [		] [		] [		] [ ] [		] [		] Informal
Orthodox [		] [		] [		] [		] [ ] [		] [		] Liberal
Complex [		] [		] [		] [		] [ ] [		] [		] Simple
Colorless [		] [		] [		] [		] [ ] [		] [		] Colorful
Modest [		] [		] [		] [		] [ ] [		] [		] Vain
Measuring	Self-Concepts,	Person	Concepts,	
and	Product	Concepts
Rating	profiles	of	different	objects	/	respondents	/	segments.
Each	point	corresponds	to	a	mean	or	median	of	the	respective	scale.
Paul Marx | Principles of survey research
Semantic	Differential	Scale:	Example
54
Source:	http://www.provisor.com.ua/archive/2000/N16/gromovik.php
Cheap [		] [		] [		] [		] [ ] [		] [		] Expensive
Has	natural	ingredients [		] [		] [		] [		] [ ] [		] [		]
Has	no	natural
ingredients
Attractive [		] [		] [		] [		] [ ] [		] [		] Unattractive
Easily	available [		] [		] [		] [		] [ ] [		] [		] Hard to	get
Smells	good [		] [		] [		] [		] [ ] [		] [		] Smells bad
Has	conditioner [		] [		] [		] [		] [ ] [		] [		] Has	no	conditioner
Well-known	brand [		] [		] [		] [		] [ ] [		] [		] Unknown	brand
Suitable	for
frequent	usage
[		] [		] [		] [		] [ ] [		] [		]
Unsuitable	for	
frequent	usage
Miraculous	effect	of	
cleanliness	and	shine
[		] [		] [		] [		] [ ] [		] [		]
Lack	of	cleanliness	
effect
Easy-to-use	 [		] [		] [		] [		] [ ] [		] [		] Inconvenient	to	use
Ideal	shampoo
Elseve
Herbal Magic
Semantic	profiles	of	shampoo	brands	
“Herbal	Magic”	and	“Elseve”	in	comparison	with
an	ideal	shampoo	from	consumers’	point	of	view
Paul Marx | Principles of survey research
Semantic	Differential	Scale:	Example
55
Paul Marx | Principles of survey research
Itemized	Rating	Scales:	Stapel	Scale
56
An	unipolar	rating	scale	with	10	categories	
numbered	from	-5	to	+5	without	neutral	point	
(zero).
Used	as	an	alternative	to	semantic	differential,	
especially	when	a	meaningful	pair	of	opposed	
adjectives	is	difficult	to	construct.
Please	evaluate	how	accurately	each	word	or	phrase	describes	each	
of	department	stores.	Select	a	plus	number	for	phrases	you	think	
describe	the	store	accurately.	The	more	accurately	you	think	the	
phrase	describes	the	store,	the	larger	the	plus	number	you	should	
choose.	You	should	select	a	minus	number	for	phrases	you	think	do	
not	describe	it	accurately.	The	less	accurately	you	think	the	phrase	
describes	the	store,	the	larger	the	minus	number	you	should	choose.	
You	can	select	any	number,	from	+5	for	phrases	you	think	are	very	
accurate,	to	-5	for	phrases	you	think	are	very	inaccurate.
Stapel Scale
7-Eleven:
+5
+4
+3
+2
+1
-1
-2
-3
-4
-5
High	Quality
+5
+4
+3
+2
+1
-1
-2
-3
-4
-5
Poor	service
х
х
Paul Marx | Principles of survey research
Basic	Non-Comparative	Scales
Scale Basic	Characteristics Examples Advantages Disadvantages
Continuous	Rating	
Scale
Place	a	mark	on	a	continuous	line Reaction	to	TV	
commercials
Easy	to	construct Scoring	can	be	
cumbersome,	unless	
computerized
Itemized	Scales
Likert	
Scale Degrees	of	agreements	on	a	1	
(strongly	disagree)	to	5	(strongly	
agree)	scale
Measurement	of	
attitudes
Easy	to	construct,	administer	
and	understand
More	time-consuming
Semantic	
Differential
Seven-point	scale	with	bipolar	labels Brand,	product,	and	
company	images
Versatile Controversy	as	to	whether	
the	data	are	interval
Stapel
Scale
Unipolar	ten-point	scale,	-5	to	+5,	
without	a	neutral	point	(zero)
Measurement	of	
attitudes	and	images
Easy	to	construct,	administer	
over	telephone
Confusing	an	difficult	to	
apply
57
Paul Marx | Principles of survey research
Non-comparative	Itemized	Rating	Scale	Decisions
58
Number	of	categories
Although	there	is	no	single,	optimal	number,	traditional	guidelines	
suggest	that	there	should	be	between	five	and	nine	categories.
Balanced	vs.	unbalanced In	general,	the	scale	should	be	balanced	to	obtain	objective	data.
Odd/even	no.	of	categories
If	a	neutral	or	indifferent	scale	response	is	possible	for	at	least	
some	respondents,	an	odd	number	of	categories	should	be	used.
Forced	vs.	non-forced
In	situations	where	the	respondents	are	expected	to	have	no	
opinion,	the	accuracy	of	the	data	may	be	improved	by	a	non-
forced	scale.
Verbal	description
An	argument	can	be	made	for	labeling	all	or	many	scale	
categories.	The	category	descriptions	should	be	located	as	close	
to	the	response	categories	as	possible.
Paul Marx | Principles of survey research
Number	of	categories
Although	there	is	no	single,	optimal	number,	traditional	guidelines	
suggest	that	there	should	be	between	five	and	nine	categories.
Number	of	Scale	Categories
59
+ The	greater	the	number	of	scale	
categories,	the	finer	the	discrimination	
among	stimulus	objects	that	is	possible
- Most	respondents	cannot	handle	more	
than	a	few	categories
Involvement	and	knowledge
• more	categories	when	respondents	are	
interested	in	the	scaling	task	or	are	
knowledgeable	about	the	objects
Nature	of	the	objects
• do	objects	lend	themselves	to	fine	
discrimination?
Mode	of	data	collection
• less	categories	in	telephone	interviews
Data	analysis
• less	categories	for	aggregation,	broad	
generalizations	or	group	comp.
• more	categories	for	sophisticated	statistical	
analysis,	esp.	correlation	based	ones
Paul Marx | Principles of survey research
Balanced	vs.	unbalanced In	general,	the	scale	should	be	balanced	to	obtain	objective	data.
Balanced	vs.	Unbalanced	Scales
60
Extremely	good
Very	good
Neither	good	nor	bad
Very	bad
Extremely	bad
Balanced	Scale
Extremely	good
Very	good
Good
Somewhat	good
Bad
Very	bad
Unbalanced	Scale
Paul Marx | Principles of survey research
Odd/even	no.	of	categories
If	a	neutral	or	indifferent	scale	response	is	possible	for	at	least	
some	respondents,	an	odd	number	of	categories	should	be	used.
Odd	or	Even	Number	of	Categories
61
- The	middle	option	of	an	attitudinal	scale	
attracts	a	substantial	#	of	respondents	
who	might	be	unsure	about	their	opinion	
or	reluctant	to	disclose	it
- This	can	distort	measures	of	central	
tendency	and	variance
- Do	we	want/need	“contrast”	in	
controversial	attitudes?
Paul Marx | Principles of survey research
Forced	vs.	non-forced
In	situations	where	the	respondents	are	expected	to	have	no	
opinion,	the	accuracy	of	the	data	may	be	improved	by	a	non-
forced	scale.
Forced	vs.	Non-Forced
62
- Questions	that	exclude	the	"don't	know"	
option	tend	to	produce	a	greater	volume	
of	accurate	data
- Are	respondents	unwilling	to	answer	vs.	
don’t	have	an	opinion?
- Use	"don't	know"	or	better	“not	
applicable”	option	for	factual	questions,	
but	not	for	attitude	questions
- Use	branching	to	ensue	concept	
familiarity	on	the	respondent’s	side
Paul Marx | Principles of survey research
Verbal	description
An	argument	can	be	made	for	labeling	all	or	many	scale	
categories.	The	category	descriptions	should	be	located	as	close	
to	the	response	categories	as	possible.
Verbal	Description
63
- Providing	a	verbal	description	for	each	
category	may	not	improve	the	accuracy	or	
reliability	of	the	data	vs.	scale	ambiguity	
- Peaked	vs.	flat	response	distributions
completely
disagree
completely
agree
disagree agree
Paul Marx | Principles of survey research
2.Survey:	Measurement	and	Scaling
2.1	Introduction
2.2	Comparative	Scales
2.3	Non-Comparative	Scales
2.4	Multi-item	Scales
2.5	Reliability	and	Validity
64
Paul Marx | Principles of survey research
Latent	Constructs
65
Please	indicate	how	satisfied	you	were	with	your	purchase	
of	_____	by	checking	the	space	that	best	gives	your	
answer.
satisfied [		] [		] [		] [		] [ ] [		] [		] dissatisfied	
pleased	 [		] [		] [		] [		] [		] [ ] [		] displeased	
favorable	 [		] [		] [		] [		] [		] [		] [ ] unfavorable
pleasant	 [		] [		] [		] [		] [		] [ ] [		] unpleasant
I	like	it	very	much	 [		] [ ] [		] [		] [		] [		] [		] I	didn't	like	it	at	all
contented [		] [		] [		] [		] [		] [ ] [		] frustrated	
delighted [		] [		] [		] [		] [		] [ ] [		] terrible	
α=0,84
A	Latent	Construct
is	a	variable	that	cannot	be	
observed	or	measured	directly	but	
can	be	inferred	from	other	
observable	measurable	variables.	
Thus,	the	researcher	must	capture	the	
variable	through	questions	
representing	the	presence/level	of	the	
variable	in	question.
Paul Marx | Principles of survey research
Latent	Constructs	&	Multi-Item	Scales
Construct Dimensions Factors Items Scale
customer
satisfaction
satisfaction
with	product	
satisfaction
with	service
friendliness
expertise
liability
the	salesperson	
was	appealing
the	salesperson	
smiled	to	me
the	salesperson	
was	courteous
strongly	
agree
largely	
agree
largely	
disagree
strongly	
disagree
Paul Marx | Principles of survey research
Advantages
+ allow	to	assess	abstract	concepts
+ make	it	easier	to	understand	the	data	and	
phenomenon
+ reduce	dimensionality	of	data	through	
aggregating	a	large	number	of	observable	
variables	in	a	model	to	represent	an	
underlying	concept	
+ link	observable	(“sub-symbolic”)	data	of	the	
real	world	to	symbolic	data	in	the	modeled	
world
Latent	Constructs	&	Multi-Item	Scales
67
Paul Marx | Principles of survey research
Multi-Item	Scales:	Make	or	Steal
Generate	an	initial	pool	of	items:
theory,	secondary	data,	and	qualitative	research
Select	a	reduced	set	of	items	based	on	
qualitative	judgement
Collect	data	from	a	large	pretest	sample
Perform	statistical	analysis
Develop	a	purified	scale
Collect	more	date	form	a	different	sample
Evaluate	scale	reliability,	validity,	and	
generalizability
Prepare	the	final	scale
Develop	a	theory
Brunner,	Gordon	C.	II	(2012),	“Marketing	Scales	
Handbook:	A	Compilation	of	Multi-Item	Measures	for	
Consumer	Behavior	&	Advertising	Research”,	Vol.	6,	
available	as	PDF	at	www.marketingscales.com/research
Journal	of	the	Academy	of	Marketing	Science	(JAMS)	
Journal	of	Advertising	(JA)
Journal	of	Consumer	Research	(JCR)
Journal	of	Marketing	(JM)
Journal	of	Marketing	Research	(JMR)	
Journal	of	Retailing	(JR)
Paul Marx | Principles of survey research
Secure	Customer	Index™		
Assessing	Consumer	Loyalty	and	Retention
69
Secure
Customer
Very	satisfied
Definitely	would	
recommend	
Definitely		will	
use	again
D.	Randall	Brandt	(1996),	“Secure	Customer	Index”,	Maritz	Research
Overall	Satisfaction 4	=	very	satisfied
3	=	somewhat	satisfied
2	=	somewhat	dissatisfied
1	=	very	dissatisfied
Willingness	to	
Recommend
5	=	definitely	would	recommend
4	=	probably	would	recommend
3	=	might	or	might	not	recommend
2=	probably	would	not	recommend
1=	definitely	would	not	recommend
Likelihood	to	Use	
Again
5	=	definitely	will	use	again
4	=	probably	will	use	again
3=	might	or	might	not	use	again
2=	probably	will	not	use	again
1	=	definitely	will	not	use	again
Secure	Customers %	very	satisfied/definitely	would	repeat/definitely	would	recommend
Favorable	Customers %	giving	at	least	"second	best"	response	on	all	three	measures	of	satisfaction	and	loyalty
Vulnerable	Customers %	somewhat	satisfied/might	or	might	not	repeat/might	or	might	not	recommend
At	Risk	Customers %	somewhat	satisfied	or	dissatisfied/probably	or	definitely	would	not	repeat/probably	or	
definitely	would	not	recommend
Paul Marx | Principles of survey research
Extended	Secure	Customer	Index™	Burke	Inc.
70
Overall Satisfaction What	is	your	overall	level	of	satisfaction	with	(BRAND/CO)?
Willingness	to	Recommend If	you	were	asked	to	recommend	a	(INDUSTRY)	how	likely	would	you	be	to	recommend
(BRAND/CO.)?
Likelihood	to	Repurchase
How	likely	are	you	to	continue	using	(BRAND/CO.)?
Earned	Loyalty
(BRAND/CO.)	has	earned	my	loyalty
Preferred	Company
I	prefer	(BRAND/CO.)	to	all	other	providers
Burke	Inc.	http://www.burke.com/library/whitepapers/sci_white_paper_low_res_pages.pdf
Loyalty	
Index
Share	of	Wallet
(0%	- 100%)	
Period	1 Period	2
Paul Marx | Principles of survey research
2.Survey:	Measurement	and	Scaling
2.1	Introduction
2.2	Comparative	Scales
2.3	Non-Comparative	Scales
2.4	Multi-item	Scales
2.5	Reliability	and	Validity
71
Paul Marx | Principles of survey research
Multi-Item	Scales:	Measurement	Accuracy
72
The	True	Score	Model
ХO = ХT + ХS + ХR
where
ХO =	the	observed	score	of	measurement
ХT =	the	true	score	of	characteristic
ХS =	systematic	error
ХR =	random	error
Paul Marx | Principles of survey research
Reliability	&	Validity
73
Reliability
• extent	to	which	a	scale	produces	consistent	
results	in	repeated	measurements
• absence	of	random	error	
(ХR ⟶0 |⇒ ХO ⟶ ХT + ХS)
• reliability	of	a	multi-item	scale	is	denoted	as	
Cronbach’s	alpha	(0	≥	α	≥	1)
• values of α	≥	0,7	are	considered	satisfactory
ХO = ХT + ХS + ХR
Validity
• extent	to	which	differences	in	observed	scale	
scores	reflect	true	differences	among	objects	
on	the	characteristic	being	measured
• no	measurement	error
(ХS ⟶ 0, ХR ⟶ 0 |⇒ ХO ⟶ХT)
Reliable
Not	Valid
Low	Validity
Low	Reliability
Not	Reliable
Not	Valid
Both	Reliable	
and	Valid
*	α	can	take	on	also	negative	values,	however,	they	cannot	be	interpreted
Paul Marx | Principles of survey research
Reliable
Not	Valid
Low	Validity
Low	Reliability
Not	Reliable
Not	Valid
Both	Reliable	
and	Valid
Relationship	between	Reliability	&	Validity
74
ХO = ХT + ХS + ХR
• validity	implies	reliability
(ХO = ХT |⇒ ХS = 0, ХR = 0)
• unreliability	implies	invalidity
(ХR ≠ 0 |⇒ ХO = ХT + ХR ≠ ХT)
• reliability	does	not	imply	validity
(ХR = 0, ХS ≠ 0 |⇒ ХO = ХT + ХS ≠ ХT)
• reliability	is	a	necessary,	but	not	sufficient,	
condition	of	validity
Paul Marx | Principles of survey research 75
“The	purpose	of	a	scale	is	to	allow	us	to	represent	respondents	
with	the	highest	accuracy	and	reliability.	We	can’t	have	one	
without	the	other	and	still	believe	in	our	data.”
Bart	Gamble	
vice	president	client	services,	
Burke,	Inc.	2000-2003
Paul Marx | Principles of survey research
Net	Promoter	Score®
competitive	growth	rates?
76
0 1 2 3 4 5 6 7 8 9 10
Reichheld,	Fred	(2003)	"One	Number	You	Need	to	Grow",	Harvard	Business	Review	
Detractors Passives Promoters
Net	Promoter	Score %	Promoters %	Detractors= –
How	likely	are	you	to	recommend	company/brand/product	X
to	a	friend/colleague/relative?
Is	the	scale	reliable?
Is	the	scale	valid?
NPS	(-100%	– +100%)
5-10% average		companies
45% high	potentials	with	open	growth	opportunity
50-80%	 market	leaders	with	high	growth	potential
Paul Marx | Principles of survey research
Net	Promoter	Score®:	Warning
77
“Though	the	“would	recommend”	question	is	far	and	away	the	
best	single-question	predictor	of	customer	behavior	across	a	
range	of	industries,	it’s	not	the	best	for	every	industry…So,	
companies	need	to	do	their	homework.	They	need	to	validate	
the	empirical	link	between	survey	answers	and	subsequent	
customer	behavior	for	their	own	business.”
Fred	Reichheld,	2011
Reichheld,	Fred,	with	Rob	Markey	(2011). The	Ultimate	Question	2.0. Boston:	Harvard	Business	Review	Press;	pp.50-51.
?
Paul Marx | Principles of survey research
3.Questionnaire
3.1	Asking	Questions
3.2	Overcoming	Inability	to	Answer
3.3	Overcoming	Unwillingness	to	Answer
3.4	Increasing	Willingness	of	Respondents
3.5	Determining	the	Order	of	Questions
3.6	What’s	Next?
78
Paul Marx | Principles of survey research
Questionnaire
79
A	Questionnaire	– is	a	formalized	set	of	
questions	for	obtaining	information	from	
respondents.
Objectives	of	a	Questionnaire:
• translate	the	information	need	into	a	set	of		
specific	questions	that	the	respondents	can	
and	will	answer
• uplift,	motivate,	and	encourage	
respondents	to	become	involved	in	the	
interview,	to	cooperate,	and	to	complete	
the	interview
• minimize	response	error
Questionnaire
Paul Marx | Principles of survey research
Questioning	Tactics
80
• Choose	an	answer	form	a	list	of	answer	choices
• +:	easy	to	analyze,	do	not	task	respondents’	memory	and	make	less	stress
• –:	automatic	and	snap	answers
• Response	options	are	not	set
• +: unlimited	range	of	possible	responses,	“tests”	respondent’s	memory
• –:	complexity	of	coding	and	analysis,	respondents	may	refuse	to	answer
Closed-ended
Open	ended
• Do	you	drink	alcohol	every	day?
• What	drinks	do	you	prefer	for	dinner?
Direct
Indirect
Paul Marx | Principles of survey research
Bias	in	Formulation
81
Q: Do	you	approve	smoking	whilst	praying?
A: No
Q: Do	you	approve	praying	whilst	smoking?
A: Yes
0 15 30 45 60
Yes
No
Uncertain
Do	you	actually	believe	in	the	big	love?
Do	you	believe	in	the	big	love?
Noelle-Neumann	and	Petersen	(1998),	p.	192
n	=	2100,	
p	<.05
Paul Marx | Principles of survey research
Issues	to	Consider	in	Questionnaire	Design
82
• Is	the	question	necessary?
• Are	several	questions	needed	instead	of	one?
• Is	the	respondent	informed?
• Can	the	respondent	remember?
• Effort	required	of	the	respondents
• Sensitivity	of	question
• Legitimate	purpose
• Cultural	issues	
• Ease	of	completion
• Comprehensiveness
• Bias	in	formulation
Paul Marx | Principles of survey research
3.Questionnaire
3.1	Asking	Questions
3.2	Overcoming	Inability	to	Answer
3.3	Overcoming	Unwillingness	to	Answer
3.4	Increasing	Willingness	of	Respondents
3.5	Determining	the	Order	of	Questions
3.6	What’s	Next?
83
Paul Marx | Principles of survey research
Asking	Questions
84
“It	is	not	every	question	that	deserves	an	answer”
Publius Syrus
roman,	1st	century	B.C.
• Avoid	ambiguity,	confusion,	and	
vagueness	
• Avoid	jargon,	slang,	abbreviations
• Avoid	double-barreled	questions
• Avoid	leading
• Avoid	implicit	assumptions
• Avoid	implicit	alternatives
• Avoid	treating	respondent’s	belief	about	a	
hypothesis	as	a	test	of	the	hypothesis	
• Avoid	generalizations	and	estimates
Paul Marx | Principles of survey research
Avoid	Ambiguity,	Confusion	and	Vagueness
85
Define	the	issue	in	terms	of	who,	what,	when,	
where,	why,	and	way	(the	six	Ws).	Who,	what,	
when,	and	where	are	particularly	important.
• Example:
Which	brand	of	shampoo	do	you	use?
• Ask	instead:
Which	brand	or	brands	of	shampoo	have	you	
personally	used	at	home	during	the	last	month?	In	
case	of	more	than	one	brand,	please	list	all	the	
brands	that	apply.
Paul Marx | Principles of survey research
Avoid	Ambiguity,	Confusion	and	Vagueness
86
The	W’s Defining	the	Question
Who The	Respondent
It	is	not	clear	whether	this	question	relates	to	the	individual	respondent	or,	e.g.,	the	
respondent’s	total	household
What The	Brand	of	Shampoo
It	is	unclear	how	the	respondent	is	to	answer	this	question	if	more	than	one	brand	is	used
When Unclear
The	time	frame	is	not	specified	in	this	question.	The	respondent	could	interpret	it	as	meaning	
the	shampoo	used	this	morning,	this,	week,	or	over	the	past	year.
Where Unclear
At	home,	at	gym,	on	the	road?
Which	brand	of	shampoo	do	you	use?
Paul Marx | Principles of survey research
Avoid	Ambiguity,	Confusion	and	Vagueness
87
• Example:
What	brand	of	computer	do	you	own?
☐ Windows
☐ Mac	OS
• Ask	instead:
Do	you	own	a	Windows	PC?	(☐ Yes	☐ No)
Do	you	own	an	Apple	computer?	(☐ Yes	☐ No)
• Even	better:
What	brand	of	computer	do	you	own?
☐ Do	not	own	a	computer
☐ Windows
☐ Mac	OS
☐ Other
• Example:
Are	you	satisfied	with	your	current	auto	insurance?
☐ Yes
☐ No
• Ask	instead:
Are	you	satisfied	with	your	current	auto	insurance?
☐ Yes
☐ No
☐ Don’t	have	auto	insurance
• Even	better	(branch	questions):
1. Do	you	currently	have	a	life	insurance	policy?	
(☐ Yes	☐ No).	If	no,	go	to	question	3.
2.	Are	you	satisfied	with	your	current	auto	insurance?	
(☐ Yes		☐ No)
Paul Marx | Principles of survey research
Avoid	Ambiguity,	Confusion	and	Vagueness
88
Example:
In	a	typical	month,	how	often	do	you	shop	in	department	
stores?
☐ Never
☐ Occasionally
☐ Sometimes
☐ Often
☐ Regularly
• Ask	instead:
In	a	typical	month,	how	often	do	you	shop	in	department	
stores?	
☐ Less	than	once
☐ 1	or	2	times
☐ 3	or	4	times
☐ More	than	4	times
Whenever	using	words	“will”,	“could”,	“might”,	or	
“may”	in	a	question,	you	might	suspect	that	the	
question	asks	a	time-related	question.
Paul Marx | Principles of survey research
Avoid	Jargon,	Slang,	Abbreviations
89
Use	ordinary	words
• Example:
Do	you	think	the	distribution	of	soft	drinks	is	adequate?
• Ask	instead:
Do	you	think	soft	drinks	are	readily	available	when	you	
want	to	buy	them?
• Example:
What	was	your	AGI	last	year?
$	_______
Paul Marx | Principles of survey research
Avoid	Double-Barreled	Questions
90
Are	several	questions	needed	instead	of	one?
• Example:
Do	you	think	Coca-Cola	is	a	tasty	and	refreshing	soft	
drink?
• Ask	instead:
1.	Do	you	think	Coca-Cola	is	a	tasty	soft	drink?
2.	Do	you	think	Coca-Cola	is	a	refreshing	soft	drink?
Paul Marx | Principles of survey research
Avoid	Leading
91
If	you	want	a	certain	answer	- why	ask?
• Example:
Do	you	help	the	environment	by	using	canvas	shopping	
bags?
• Ask	instead:
Do	you	use	canvas	shopping	bags?
Paul Marx | Principles of survey research
Avoid	Implicit	Assumptions
92
The	answer	should	not	depend	on	upon	implicit	assumptions	
about	what	will	happen	as	a	consequence.
• Example:
Are	you	in	favor	of	a	balanced	budget?
• Ask	instead:
Are	you	in	favor	of	a	balanced	budget	if	it	would	result	in	
an	increase	in	the	personal	income	tax?
Paul Marx | Principles of survey research
http://www.kostenlose3dmodelle.com/
mensch-argere-dich-nicht-lightwavedice
-studio-3ds-obj-lwo/
Avoid	implicit	alternatives
93
An	alternative	that	is	not	explicitly	expressed	in	the	options	is	
an	implicit	alternative.
• Example:
Do	you	like	to	fly	when	traveling	short	distances?
• Ask	instead:
Do	you	like	to	fly	when	traveling	short	distances,	or	would	
you	rather	drive?
Paul Marx | Principles of survey research
Avoid	Treating	Beliefs	as	Real	Facts
94
Beliefs	are	only	a	biased	representation	of	reality
• Example:
Do	you	think	more	educated	people	wear	fur	clothing?
• Ask	instead:
1.	What	is	your	education	level?
2.	Do	you	wear	fur	clothing?
Paul Marx | Principles of survey research
Avoid	Generalizations	and	Estimates
95
Don’t	task	respondents’	memory	and	math	skills
• Example:
What	is	the	annual	per	capita	expenditure	on	groceries	in	
your	household?
• Ask	instead:
1.	What	is	the	monthly	(or	weekly)	expenditure	on	
groceries	in	your	household?
2.	How	many	members	are	there	in	your	household?
Paul Marx | Principles of survey research
3.Questionnaire
3.1	Asking	Questions
3.2	Overcoming	Inability	to	Answer
3.3	Overcoming	Unwillingness	to	Answer
3.4	Increasing	Willingness	of	Respondents
3.5	Determining	the	Order	of	Questions
3.6	What’s	Next?
96
Paul Marx | Principles of survey research
Overcoming	Inability	to	Answer
97
Is	the	Respondent	Informed?
Can	the	Respondent	Remember?
Can	the	Respondent	Articulate?
Paul Marx | Principles of survey research
Overcoming	Inability	to	Answer
98
Is	the	Respondent	Informed?
Respondents	will	often	answer	questions	even	though	they	are	
not	informed
• Example:
Please	indicate	how	strongly	you	agree	or	disagree	with	
the	following	statement:
“The	National	Bureau	of	Consumer	Complaints	provides	
an	effective	means	for	consumers	who	have	purchased	a	
defective	product	to	obtain	relief”
51.9%	of	the	lawyers	and	75%	of	the	public	expressed	
their	opinion,	although	there	is	no	such	entity	as	the	
NBCC
• Use	Filter	Questions:
e.g.	ask	about	familiarity	and/or	frequency	of	patronage	in	
a	study	of	10	department	stores	
• Use	“don’t	know”	Option
Paul Marx | Principles of survey research
Can	the	Respondent	Remember?
Overcoming	Inability	to	Answer
99
The	inability	to	remember	leads	to	errors	of	omission,	
telescoping,	and	creation
• Example:
How	many	liters	of	soft	drinks	did	you	consume	during	the	
last	four	weeks?
• Ask	instead:
How	often	do	you	consume	soft	drinks	in	a	typical	week?
☐ Less	than	once	a	week
☐ 1	to	3	times	per	week
☐ 4	or	6	times	per	week
☐ 7	or	more	times	per	week
• Use	aided	recall	approach	(where	appropriate)
“What	brands	of	soft	drinks	do	you	remember	being	
advertised	last	night	on	TV?”
vs
“Which	of	these	brands	were	advertised	last	night	on	TV?”
Paul Marx | Principles of survey research
Can	the	Respondent	Articulate?
Overcoming	Inability	to	Answer
100
If	unable	to	articulate	their	responses,	respondents	are	likely	
to	ignore	the	question	and	quit	the	survey
• Example:
If	asked	to	describe	the	atmosphere	of	the	department	
store	they	would	prefer	to	patronage,	most	respondents	
may	be	unable	to	phrase	their	answers.
• Provide	aids,	e.g.,	pictures,	maps,	descriptions
If	the	respondents	are	given	alternative	descriptions	of	
store	atmosphere,	they	will	be	able	to	indicate	the	one	
they	like	the	best.
Paul Marx | Principles of survey research
3.Questionnaire
3.1	Asking	Questions
3.2	Overcoming	Inability	to	Answer
3.3	Overcoming	Unwillingness	to	Answer
3.4	Increasing	Willingness	of	Respondents
3.5	Determining	the	Order	of	Questions
3.6	What’s	Next?
101
Paul Marx | Principles of survey research
Overcoming	Unwillingness	to	Answer
102
Most	respondents	are	unwilling	to	
• devote	a	lot	of	effort	to	provide	information
• respond	to	questions	that	they	consider	to	be	
inappropriate		for	the	given	context
• divulge	information	they	do	not	see	as	serving	a	legitimate	
purpose
• disclose	sensitive	information
Paul Marx | Principles of survey research
Overcoming	Unwillingness	to	Answer
103
Minimize	the	effort	required	of	respondents
• Example:
Please	list	all	the	departments	from	which	you	purchased	
merchandise	on	your	most	recent	shopping	to	a	
department	store.
• Ask	instead:
In	the	list	that	follows,	please	check	all	the	departments	
from	which		you	purchased	merchandise	on	your	most	
recent	shopping	to	a	department	store.
☐ Women’s	dresses
☐ Men’s	apparel
☐ Children’s	apparel
☐ Cosmetics
…….
☐ Jewelry
☐ Other	(please	specify)	_________________
Paul Marx | Principles of survey research
Overcoming	Unwillingness	to	Answer
104104
Some	questions	may	seem	appropriate	in	certain	contexts	but	
not	in	others
• Example:
Questions	about	personal	hygiene	habits	may	be	
appropriate	when	asked	in	a	survey	sponsored	by	the	
Medical	Association,	but	not	in	one	sponsored	by	a	fast-
food	restaurant.
• Provide	context	by	making	a	statement:
“As	a	fast-food	restaurant,	we	are	very	concerned	about	
providing	a	clean	and	hygienic	environment	for	our	
customers.	Therefore,	we	would	like	to	ask	you	some	
questions	related	to	personal	hygiene.”
Paul Marx | Principles of survey research
Overcoming	Unwillingness	to	Answer
105105105
Explain	why	the	data	is	needed
• Example:
Why	should	a	firm	marketing	cereals	want	to	know	the	
respondents’	age,	income,	and	occupation?
• Legitimate	the	information	request:
“To	determine	how	the	consumption	of	cereals	vary	
among	people	of	different	ages,	incomes,	and	occupation,	
we	need	information	on	...”
Paul Marx | Principles of survey research
3.Questionnaire
3.1	Asking	Questions
3.2	Overcoming	Inability	to	Answer
3.3	Overcoming	Unwillingness	to	Answer
3.4	Increasing	Willingness	of	Respondents
3.5	Determining	the	Order	of	Questions
3.6	What’s	Next?
106
Paul Marx | Principles of survey research
• Place	sensitive	topics	at	the	end	of	the	questionnaire
• Preface	questions	with	a	statement	that	the	behavior	is	of	
interest	in	common
• Ask	the	question	using	third-person	technique:	phrase	the	
question	as	if	it	referred	to	other	people
• Hide	the	question	in	a	group	of	other	questions
• Provide	response	categories	rather	than	asking	for	specific	
figures
Increasing	Willingness	of	Respondents
107
Sensitive	Topics:
- money
- family	life
- political	and	religious	beliefs
- involvement	in	accidents	or	crimes
- …
Paul Marx | Principles of survey research
3.Questionnaire
3.1	Asking	Questions
3.2	Overcoming	Inability	to	Answer
3.3	Overcoming	Unwillingness	to	Answer
3.4	Increasing	Willingness	of	Respondents
3.5	Determining	the	Order	of	Questions
3.6	What’s	Next?
108
Paul Marx | Principles of survey research
Determining	the	Order	of	Questions
109
• Opening	Questions
The	opening	questions	should	be	interesting,	simple,	and	
non-threatening.
• Type	of	Information	
As	a	general	guideline,	basic	information	should	be	
obtained	first,	followed	by	classification,	and,	finally,	
identification	information.
• Difficult	Questions
Difficult	questions	or	questions	which	are	sensitive,	
embarrassing,	complex,	or	dull,	should	be	placed	late	in	
the	sequence.
Paul Marx | Principles of survey research
Determining	the	Order	of	Questions
110
• Effect	on	Subsequent	Questions	(funneling)
General	questions	should	precede	the	specific	questions
1.	What	considerations	are	important	to	you	in	selecting	a	
department	store?
2.	In	selecting	a	department	store,	how	important	is	
convenience	of	location?
• Logical	Order	/	Branching	Questions
The	question	being	branched	should	be	placed	as	close	as	
possible	to	the	question	causing	the	branching.
The	branching	questions	should	be	ordered	so	that	the	
respondents	cannot	anticipate	what	additional	
information	will	be	required.
Paul Marx | Principles of survey research
Example:	Flowchart	of	a	Questionnaire
111
Introduction
Ownership	of	Store,	Bank,	and/or	other	
Charge	Cards
Purchased	products	in	a	specific	department	store	
during	the	last	two	months
How	payment	was	made?
Ever	purchased	products	in	a	
department	store?
Store	
Charge	
Card
Bank
Charge
Card
Other
Charge
Card
Intention	to	use	Store,	Bank,	
or	Other	Charge	Cards
yes no
yes
no
Credit Cash
Other
Paul Marx | Principles of survey research
3.Questionnaire
3.1	Asking	Questions
3.2	Overcoming	Inability	to	Answer
3.3	Overcoming	Unwillingness	to	Answer
3.4	Increasing	Willingness	of	Respondents
3.5	Determining	the	Order	of	Questions
3.6	What’s	Next?
112
Paul Marx | Principles of survey research
What’s	Next?
113113
Introduction
• Catch	the	respondents’	interest
• Explain	the	reasons	&	objectives
• Ask	for	their	help
• Tell	that	their	support	is	valuable
• Tell	how	much	time	it	will	last
• Emphasize	the	anonymity
• Incentivize	
(non-monetary	incentives)
Paul Marx | Principles of survey research
What’s	Next?
114114
Pretest!	Pretest!	Pretest!!!
• question	content
• wording	
• sequence
• form	and	layout
• question	difficulty
• instructions…
• analysis	procedures
Paul Marx | Principles of survey research
Recap
115
1. Develop	a	flow	chart	of	the	information	required	based	on	the	marketing	research	problem	
• Once	the	entire	sequence	is	laid	out,	the	interrelationships	should	become	clear
• Match	up	the	actual	data	you	would	expect	to	collect	from	the	questionnaire	against	the	information	needs	listed	in	
the	flow	chart
• Be	specific	in	the	objective	for	each	area	of	information	and	data.	You	should	be	able	to	write	an	objective	for	each	
area	so	specifically	that	it	guides	your	construction	of	the	questions.
2. At	this	stage,	put	on	your	“critic’s”	hat	on	and	go	back	over	the	flowchart	and	ask
• Do	I	need	to	know	it	and	know	exactly	what	I	am	going	to	do	with	it?	or
• It	would	be	nice	to	know	it	but	I	do	not	have	to	have	it
Paul Marx | Principles of survey research
4.Sampling
4.1	Non-probability	Sampling
4.2	Probability	Sampling
4.3	Choosing	Non-probability	vs.	Probability	Sampling
4.4	Sample	Size
116
Paul Marx | Principles of survey research 117
The	world’s	most	famous	newspaper	error
President	Harry	Truman	against	Thomas	Dewey
Chicago	Tribute	prepared	an	incorrect	headline	without	first	
getting	accurate	information
Reason?	
• bias
• inaccurate	opinion	polls
Paul Marx | Principles of survey research
Sampling
118
Most	research	cannot	test	everyone.	Instead	a	sample of	the	
whole	population	is	selected	and	tested.	
If	this	is	done	well,	the	results	can	be	applied	to	the	whole	
population.
This	selection	and	testing	of	a	sample	is	called	sampling.
If	a	sample	is	poorly	chosen,	all	the	data	may	be	useless.
Population
the	group	of	people	we	wish	to	
understand.	Populations	are	often	
segmented	by	demographic	or
psychographic	features	(age,	gender,	
interests,	lifestyles,	etc.)
Sample
a	subset	of	population	that	
represents	the	whole	group
Paul Marx | Principles of survey research
Sampling
119
Population
the	group	of	people	we	wish	to	
understand.	Populations	are	often	
segmented	by	demographic	or
psychographic	features	(age,	gender,	
interests,	lifestyles,	etc.)
Sample
a	subset	of	population	that	
represents	the	whole	groupRespondents
people	who	answer
Most	research	cannot	test	everyone.	Instead	a	sample of	the	
whole	population	is	selected	and	tested.	
If	this	is	done	well,	the	results	can	be	applied	to	the	whole	
population.
This	selection	and	testing	of	a	sample	is	called	sampling.
If	a	sample	is	poorly	chosen,	all	the	data	may	be	useless.
Paul Marx | Principles of survey research
Sampling:	Two	General	Methods
120
Image	By	Sergio	Valle	Duarte	(Own	work)	[CC	BY	3.0],	via	Wikimedia	Commons
Paul Marx | Principles of survey research 121
Sampling	Techniques
Convenience
Sampling
Judgmental
Sampling
Quota
Sampling
Snowball
Sampling
Non-probability Probability
Simple	Random	
Sampling
Systematic	
Sampling
Stratified
Sampling
Cluster	
Sampling
Other	Sampling
Techniques
Proportionate Disproportionate
Paul Marx | Principles of survey research
4.Sampling
4.1	Non-probability	Sampling
4.2	Probability	Sampling
4.3	Choosing	Non-probability	vs.	Probability	Sampling
4.4	Sample	Size
122
Paul Marx | Principles of survey research 123
Sampling	Techniques
Convenience
Sampling
Judgmental
Sampling
Quota
Sampling
Snowball
Sampling
Non-probability Probability
Simple	Random	
Sampling
Systematic	
Sampling
Stratified
Sampling
Cluster	
Sampling
Other	Sampling
Techniques
Proportionate Disproportionate
Paul Marx | Principles of survey research
Convenience	Sampling
124
Convenience	sampling	attempts	to	obtain	a	sample	of	
convenient	respondents.	Often,	respondents	are	selected	
because	they	happen	to	be	in	the	right	place	at	right	time.
• students	or	members	of	social	organizations
• mall	intercept	interviews	without	qualifying	the	
respondents
• “people	on	the	street”	interviews
• tear-out	questionnaires	in	magazines
Paul Marx | Principles of survey research
Judgmental	Sampling
125
Judgmental	sampling	a	form	of	convenience	sampling	in	
which	the	population	elements	are	selected	based	on	the	
judgement	of	the	researcher
• test	markets
• purchase	engineers	selected	in	industrial	marketing	
research
• mothers	as	diaper	“users”
Paul Marx | Principles of survey research
Quota	Sampling
126
Quota	sampling	techniques	develop	control	categories,	or	
quotas,	of	population	elements	(e.g.,	sex,	age,	race,	income,	
company	size,	turnover,	etc.)	so	that	the	proportion	of	the	
elements	possessing	these	characteristics	in	the	sample	
reflects	their	distribution	in	the	population.
The	elements	themselves	are	selected	based	on	convenience	
or	judgment.	The	only	requirement,	however,	is	that	the	
elements	selected	fit	the	control	characteristics	(quota).	
Control	
Characteristic
Population	
Composition Sample	Composition
Percentage Percentage Number
Sex
Male

Female


48
52
-------
100
48

52

-------
100


480

520

-------
1000
Age

18-30
31-45
45-60

Over	60
27
39
16
18
-------
100
27
39
16
18
-------
100
270
390
160
180
-------
1000
Paul Marx | Principles of survey research
Snowball	Sampling
127127
An	initial	group	of	respondents	is	selected	(usually)	at	
random.
• After	being	interviewed,	these	respondents	are	asked	to	
identify	others	who	belong	to	the	target	population	of	
interest.
• Subsequent	respondents	are	selected	based	on	the	
referrals.
Good	for	locating	the	desired	characteristic	in	the	population:
• reaching	hard-to-reach	respondents	(e.g.,	government	
services,	“food	stamps”,	drug	users)
• estimating	characteristics	that	are	rare	in	the	population
• identifying	buyer-seller	pairs	in	industrial	research
Paul Marx | Principles of survey research
4.Sampling
4.1	Non-probability	Sampling
4.2	Probability	Sampling
4.3	Choosing	Non-probability	vs.	Probability	Sampling
4.4	Sample	Size
128
Paul Marx | Principles of survey research 129
Sampling	Techniques
Convenience
Sampling
Judgmental
Sampling
Quota
Sampling
Snowball
Sampling
Non-probability Probability
Simple	Random	
Sampling
Systematic	
Sampling
Stratified
Sampling
Cluster	
Sampling
Other	Sampling
Techniques
Proportionate Disproportionate
Paul Marx | Principles of survey research
Simple	Random	Sampling	&	Systematic	Sampling
130
Systematic	Sampling
• The	sample	is	chosen	by	selecting	a	random	starting	point	
and	then	picking	every	𝑖-th element	in	succession	from	
the	sampling	frame
• The	sampling	interval,	𝑖,	is	determined	by	dividing	the	
population	size	𝑁 by	the	sample	size	𝑛,	i.e.,	𝑖 = 𝑁/𝑛	
Simple	Random	Sampling
• Each	element	in	the	population	has	a	known	and	equal	
probability	of	selection
• Each	possible	sample	of	a	given	size	(𝑛)	has	a	known	
probability	of	being	the	sample	actually	selected
• This	implies	that	every	element	is	selected	independently	
of	every	other	element.
start	here
select	randomly
i
i
i
take	every	
i-th element
Paul Marx | Principles of survey research
Stratified	Sampling
131131
Stratified	sampling	is	obtained	by	separating	the	population	
into	non-overlapping	groups	called	strata	and	then	obtaining	
a	proportional	simple	random	sample	from	each	group.	The	
individuals	within	each	group	should	be	similar	in	some	way.
Good	for:
• highlighting	a	specific	subgroup	within	the	population
• observing	existing	relationships	between	two	or	more	
subgroups
• representative	sampling	of	even	the	smallest	and	most	
inaccessible	subgroups	in	the	population
• a	higher	statistical	precision
Stratum A B C
Population	Size 100 200 300
Sampling	Fraction 1/2 1/2 1/2
Final	Sample	Size 50 100 150
Stratum A B C
Population	Size 100 200 300
Sampling	Fraction 1/5 1/2 1/3
Final	Sample	Size 20 100 100
Proportionate
Disproportionate
Paul Marx | Principles of survey research
Cluster	Sampling
132132
Cluster	sampling	the	target	population	is	first	divided	into	
mutually	exclusive	and	collectively	exhaustive	subpopulations,	
or	clusters.	Than	a	random	sample	of	clusters	is	selected,	
based	on	SRS.
Good	for:
• covering	large	geographic	areas
• reducing	survey	costs
• when	constructing	a	complete	list	of	population	elements	
is	difficult
• when	the	population	concentrated	in	natural	clusters	
(e.g.,	blocks,	cities,	schools,	hospitals,	boxes,	etc.)
For	each	cluster,	either	all	the	elements	
are	included	in	the	sample	(one-stage)	or	
a	sample	of	elements	is	drawn	
probabilistically	(two-sage).
Paul Marx | Principles of survey research
4.Sampling
4.1	Non-probability	Sampling
4.2	Probability	Sampling
4.3	Choosing	Non-probability	vs.	Probability	Sampling
4.4	Sample	Size
133
Paul Marx | Principles of survey research
Strengths	and	Weaknesses	of	Basic	Sampling	Techniques
134
Technique Strengths Weaknesses
Non-probability	Sampling
Convenience	sampling Least	expensive,	least	time	consuming,	most	
convenient
Selection	bias,	sample	not	representative,	not	
recommended	for	descriptive	or	causal	research
Judgmental	sampling Low	cost,	convenient,	not	time	consuming Does	not	allow	generalization,	subjective
Quota	sampling Sample	can	be	controlled	for	certain	characteristics Selection	bias,	no	assurance	of	representativeness
Snowball	sampling Can	estimate	rare	characteristics Time	consuming	in	the	field	research
Probability	Sampling
Simple	random	sampling	(SRS) Easily	understood,	results	projectable Difficult	to	construct	sampling	frame,	expensive,	lower	
precision,	no	assurance	of	representativeness
Systematic	sampling Can	increase	representativeness,	easier	to	implement	
than	SRS
Can	decrease	representativeness
Stratified	sampling Includes	all	important	subpopulations,	precision Difficult	to	select	relevant	stratification	variables,	not	
feasible	to	stratify	on	many	variables,	expensive
Cluster	sampling Easy	to	implement,	cost	effective Imprecise,	difficult	to	compute	and	interpret	results
Paul Marx | Principles of survey research
4.Sampling
4.1	Non-probability	Sampling
4.2	Probability	Sampling
4.3	Choosing	Non-probability	vs.	Probability	Sampling
4.4	Sample	Size
135
Paul Marx | Principles of survey research
Determining	the	Sample	Size
136
The	sample	size	does	not	depend	on	the	size	of	the	
population being	studied,	but	rather	it	depends	on	qualitative	
factors	of	the	research.
• desired	precision	of	estimates
• knowledge	of	population	parameters
• number	of	variables
• nature	of	the	analysis
• importance	of	the	decision
• incidence	and	completion	rates
• resource	constraints
Paul Marx | Principles of survey research
Sample	Sizes	Used	in	Marketing	Research	Studies
137
Type	of	Study Minimum	Size Typical	Size
Problem	identification	research
(e.g.,	market	potential)
500 1,000	- 2,000
Problem	solving	research	
(e.g.,	pricing)
200 300	- 500
Product	tests 200 300	- 500
Test-market	studies 200 300	- 500
TV/Radio/Print	advertising
(per	commercial	ad	tested)
150 200	- 300
Test-market	audits 10	stores 10	- 20	stores
Focus	groups 6	groups 10	- 15	groups
Paul Marx | Principles of survey research
Margin	of	Error	Approach	to	Determining	Sample	Size
138
Paul Marx | Principles of survey research
Margin	of	Error	Approach	to	Determining	Sample	Size
139
Paul Marx | Principles of survey research
Margin	of	Error	Approach	to	Determining	Sample	Size
140
Paul Marx | Principles of survey research
Margin	of	Error	Approach	to	Determining	Sample	Size
141
𝑥 = 𝑥(	± 𝐸
𝑥	=	real	population	parameter
𝑥( =	sample	statistic	
𝐸 =	margin	of	error	
𝐸 = 𝑧
𝜎
𝑛
Paul Marx | Principles of survey research
Margin	of	Error	Approach	to	Determining	Sample	Size
142
𝑥 = 𝑥(	± 𝐸
𝑥	=	real	population	parameter
𝑥( =	sample	statistic	
𝐸 =	margin	of	error	
𝐸 = 𝑧
𝜎
𝑛
unlikely	to	be	known
Paul Marx | Principles of survey research
Margin	of	Error	Approach	to	Determining	Sample	Size
143
𝑥 = 𝑥(	± 𝐸
𝑥	=	real	population	parameter
𝑥( =	sample	statistic	
𝐸 =	margin	of	error	
𝐸 = 𝑧
𝜎
𝑛
unlikely	to	be	known
has	a	maximum	at	π	=	.5
Paul Marx | Principles of survey research
Margin	of	Error	Approach	to	Determining	Sample	Size
144
𝑥 = 𝑥(	± 𝐸
𝑥	=	real	population	parameter
𝑥( =	sample	statistic	
𝐸 =	margin	of	error
Paul Marx | Principles of survey research
Margin	of	Error	Approach	to	Determining	Sample	Size
145
𝑥 = 𝑥(	± 𝐸
calculations	are	approximate	values	for	95%	level	of	confidence
Paul Marx | Principles of survey research
Margin	of	Error	Approach	to	Determining	Sample	Size
146
𝐸 ≈
1
𝑛
							⟹ 							 𝑛 ≈
1
𝐸
1
calculations	are	approximate	values	for	95%	level	of	confidence
Paul Marx | Principles of survey research
Margin	of	Error	Approach	to	Determining	Sample	Size
147
calculations	are	approximate	values	for	95%	level	of	confidence
Paul Marx | Principles of survey research
Margin	of	Error	Approach	to	Determining	Sample	Size
148
𝑛2344 =	corrected	sample	size
𝑛								=	sample	size
𝑁 =	size	of	population
calculations	are	approximate	values	for	95%	level	of	confidence
Paul Marx | Principles of survey research
𝑛2344 =
𝑛
(1 + 𝑛 − 1 	/	𝑁)
Margin	of	Error	Approach	to	Determining	Sample	Size
149
Margin	of	Error	1%
calculations	are	approximate	values	for	95%	level	of	confidence
Paul Marx | Principles of survey research
Margin	of	Error	Approach	to	Determining	Sample	Size
150
calculations	are	approximate	values	for	95%	level	of	confidence
𝑛2344 =
𝑛
(1 + 𝑛 − 1 	/	𝑁)
Margin	of	Error	5%
Paul Marx | Principles of survey research
Margin	of	Error	Approach	to	Determining	Sample	Size
151
calculations	are	approximate	values	for	95%	level	of	confidence
𝑛2344 =
𝑛
(1 + 𝑛 − 1 	/	𝑁)
Margin	of	Error	10%
Paul Marx | Principles of survey research
A	Note	on	Confidence	Interval
152
Confidence	Interval	&	Level	of	Confidence
A	confidence	interval	estimate	is	an	interval	of	numbers,	along	with	a	
measure	of	the	likelihood	that	the	interval	contains	the	unknown	
parameter.
The	level	of	confidence	is	the	expected	proportion	of	intervals	that	will	
contain	the	parameter	if	a	large	number	of	samples	is	maintained.
.
Suppose	we're	wondering	what	the	average	number	of	hours	that	people	at	
Siemens	spend	working.	We	might	take	a	sample	of	30	individuals	and	find	a	sample	
mean	of	7.5	hours.	If	we	say	that	we're	95%	confident	that	the	real	mean	is	
somewhere	between	7.2	and	7.8,	we're	saying	that	if	we	were	to	repeat	this	with	
new	samples,	and	gave	a	margin	of	±0.3	hours	every	time,	our	interval	would	
contain	the	actual	mean	95%	of	the	time.
Paul Marx | Principles of survey research
Confidence	Interval,	Margin	of	Error,	and	Sample	Size	
153
The	higher	the	confidence	we	need,	the	wider	
the	confidence	interval	and	the	greater	the	
margin	of	error	will	be
Paul Marx | Principles of survey research
Confidence	Interval,	Margin	of	Error,	and	Sample	Size	
154
The	higher	the	confidence	we	need,	the	wider	
the	confidence	interval	and	the	greater	the	
margin	of	error	will	be
smaller	margins	of	error
require	larger	samples
higher	levels	of	confidence	
require	larger	samples
Paul Marx | Principles of survey research
5.Data	Analysis:	A	Concise	Overview	of	Statistical	Techniques
5.1	Descriptive	Statistics:	Some	popular	Displays	of	Data
5.1.1	Organizing	Qualitative	Data
5.1.2	Organizing	Quantitative	Data
5.1.3	Summarizing	Data	Numerically
5.1.4	Cross-Tabulations
5.2	Inferential	Statistics:	Can	the	Results	Be	Generalized	to	Population?
5.2.1	Hypotheses	Testing
5.2.2	Strength	of	a	Relationship	in	Cross-Tabulation
5.2.3	Describing	the	Relationship	between	Two	(Ratio	Scaled)	Variables
155
Paul Marx | Principles of survey research
Types	of	Statistical	Data	Analysis
156
Descriptive
• Descriptive	statistics	provide	simple	
summaries	about	the	sample	and	about	the	
observations	that	have	been	made.
• Include	the	numbers,	tables,	charts,	and	
graphs	used	to	describe,	organize,	summarize,	
and	present	raw	data.
Inferential
• Inferential	statistics	are	techniques	that	allow	
making	generalizations	about	a	population	
based	on	random	samples	drawn	from	the	
population.
• Allow	assessing	causality	and	quantifying	
relationships	between	variables.
Paul Marx | Principles of survey research
5.Data	Analysis:	A	Concise	Overview	of	Statistical	Techniques
5.1	Descriptive	Statistics:	Some	popular	Displays	of	Data
5.1.1	Organizing	Qualitative	Data
5.1.2	Organizing	Quantitative	Data
5.1.3	Summarizing	Data	Numerically
5.1.4	Cross-Tabulations
5.2	Inferential	Statistics:	Can	the	Results	Be	Generalized	to	Population?
5.2.1	Hypotheses	Testing
5.2.2	Strength	of	a	Relationship	in	Cross-Tabulation
5.2.3	Describing	the	Relationship	between	Two	(Ratio	Scaled)	Variables
157
Paul Marx | Principles of survey research
5.Data	Analysis:	A	Concise	Overview	of	Statistical	Techniques
5.1	Descriptive	Statistics:	Some	popular	Displays	of	Data
5.1.1	Organizing	Qualitative	Data
5.1.2	Organizing	Quantitative	Data
5.1.3	Summarizing	Data	Numerically
5.1.4	Cross-Tabulations
5.2	Inferential	Statistics:	Can	the	Results	Be	Generalized	to	Population?
5.2.1	Hypotheses	Testing
5.2.2	Strength	of	a	Relationship	in	Cross-Tabulation
5.2.3	Describing	the	Relationship	between	Two	(Ratio	Scaled)	Variables
158
Paul Marx | Principles of survey research
blue red blue orange blue yellow green red pink
blue green blue purple blue blue green yellow pink
blue red pink green blue yellow green blue
Frequency	and	Relative	Frequency	Tables
159
Original	Data
𝑟𝑒𝑙𝑎𝑡𝑖𝑣𝑒	𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 =	
𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦
𝑠𝑢𝑚	𝑜𝑓	𝑎𝑙𝑙	𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑖𝑒𝑠
A	frequency	distribution	lists	each	category	
of	data	and	the	number	of	occurrences	for	
each	category
The	relative	frequency	is	the	proportion	(or	percent)	
of	observations	within	a	category.
A	relative	frequency	distribution	lists	each	category	
of	data	together	with	the	relative	frequency	of	each	
category.
favorite	color frequency
blue 10
red 3
orange 1
yellow 3
green 5
pink 3
purple 1
favorite	color relative	frequency
blue 10/26≈ 0.38
red 3/26≈ 0.12
orange 1/26≈ 0.04
yellow 3/26≈ 0.12
green 5/26≈ 0.19
pink 3/26≈ 0.12
purple 1/26≈ 0.04
Paul Marx | Principles of survey research
favorite	color relative	frequency
blue 10/26≈ 0.38
red 3/26≈ 0.12
orange 1/26≈ 0.04
yellow 3/26≈ 0.12
green 5/26≈ 0.19
pink 3/26≈ 0.12
purple 1/26≈ 0.04
favorite	color frequency
blue 10
red 3
orange 1
yellow 3
green 5
pink 3
purple 1
Bar	Graphs
160
0
2
4
6
8
10
12
blue red orange yellow green pink purple
FREQUENCY
favorite	color
0%
5%
10%
15%
20%
25%
30%
35%
40%
blue red orange yellow green pink purple
RELATIVE	FREQUENCY
favorite	color
Bar	Graphs	/	Bar	Charts
1. heights	can	be	frequency	
or	relative	frequency
2. bars	must	not	touch
Paul Marx | Principles of survey research
Pie	Charts
161
blue
37%
red
12%orange
4%
yellow
12%
green
19%
pink
12%
purple
4%
favorite	color
Pie	Charts
1. should	always	include	the	relative	
frequency
2. also	should	include	labels,	either	directly	
or	as	a	legend
Paul Marx | Principles of survey research
5.Data	Analysis:	A	Concise	Overview	of	Statistical	Techniques
5.1	Descriptive	Statistics:	Some	popular	Displays	of	Data
5.1.1	Organizing	Qualitative	Data
5.1.2	Organizing	Quantitative	Data
5.1.3	Summarizing	Data	Numerically
5.1.4	Cross-Tabulations
5.2	Inferential	Statistics:	Can	the	Results	Be	Generalized	to	Population?
5.2.1	Hypotheses	Testing
5.2.2	Strength	of	a	Relationship	in	Cross-Tabulation
5.2.3	Describing	the	Relationship	between	Two	(Ratio	Scaled)	Variables
162
Paul Marx | Principles of survey research
Exam	Score Frequency
50–59 2
60–69 5
70–79 7
80–89 7
90–99 4
children frequency Relative	frequency
1 3 3/26≈0.12
2 8 8/26≈0.31
3 10 10/26≈0.38
4 2 2/26≈0.08
5 3 3/26≈0.12
Tables
163
Original	Data
Original	Data
Sometimes	there	are	too	many	values	to	
make	a	row	for	each	one.	In	that	case,	we'll	
need	to	group	several	values	together.
A	discrete	variable	is	a	quantitative	variable	
that	has	either	a	finite	number	of	possible	
values	or	a	countable	number	of	values,	i.e.,	
0,	1,	2,	3,	...
2 2 2 4 5 3 3 3 3
2 1 2 3 5 3 4 3 1
2 3 5 3 2 1 3 2
62 87 67 58 95 94 91 69 52
76 82 85 91 60 77 72 83 79
63 88 79 88 70 75 75
lower	class	limit
upper	class	limit
class	width=	90-80	=	10
Paul Marx | Principles of survey research
average	
commute frequency
relative	
frequency	
16–17.9 1 1/15≈0.07
18–19.9 2 2/15≈0.13
20–21.9 1 1/15≈0.07
22–23.9 6 6/15≈0.40
24–25.9 2 2/15≈0.13
26–27.9 1 1/15≈0.07
28–29.9 1 1/15≈0.07
30–31.9 1 1/15≈0.07
children frequency
relative	
frequency
1 3 3/26≈0.12
2 8 8/26≈0.31
3 10 10/26≈0.38
4 2 2/26≈0.08
5 3 3/26≈0.12
Tables
164
0
2
4
6
8
10
12
1 2 3 4 5
FREQUENCY
NUMBER	OF	CHILDREN	IN	FAMILY
0,00
0,10
0,20
0,30
0,40
0,50
1 2 3 4 5
RELATIVE	FREQUENCY
NUMBER	OF	CHILDREN	IN	FAMILY
0
1
2
3
4
5
6
7
16 18 20 22 24 26 28 30 32
FREQUENCY
TIME	(MINUTES)
Average	Daily	Commute
Paul Marx | Principles of survey research
Histogram
1. height	of	rectangles	is	the	frequency	or	
relative	frequency	of	the	class	
2. widths	of	rectangles	is	the	same	and	
they	touch	each	other
0
2
4
6
8
10
12
1 2 3 4 5
FREQUENCY
NUMBER	OF	CHILDREN	IN	FAMILY
0,00
0,10
0,20
0,30
0,40
0,50
1 2 3 4 5
RELATIVE	FREQUENCY
NUMBER	OF	CHILDREN	IN	FAMILY
0
1
2
3
4
5
6
7
16 18 20 22 24 26 28 30 32
FREQUENCY
TIME	(MINUTES)
Average	Daily	Commute
Histogram
165
average	
commute frequency
relative	
frequency	
16–17.9 1 1/15≈0.07
18–19.9 2 2/15≈0.13
20–21.9 1 1/15≈0.07
22–23.9 6 6/15≈0.40
24–25.9 2 2/15≈0.13
26–27.9 1 1/15≈0.07
28–29.9 1 1/15≈0.07
30–31.9 1 1/15≈0.07
Paul Marx | Principles of survey research
Frequency	Polygon
166
0
1
2
3
4
5
6
7
16 18 20 22 24 26 28 30 32
FREQUENCY
TIME	(MINUTES)
Average	Daily	Commute
A	frequency	polygon
is	drawn	by	plotting	a	point	above	each	class	
midpoint	and	connecting	the	points	with	a	
straight	line.	
(Class	midpoints	are	found	by	average	
successive	lower	class	limits.)
16 21 26 31
0
1
2
3
4
5
6
7
16 18 20 22 24 26 28 30 32
FREQUENCY
TIME	(MINUTES)
Average	Daily	Commute
0
1
2
3
4
5
6
7
15 17 19 21 23 25 27 29 31 33
FREQUENCY
TIME	(MINUTES)
Average	Daily	Commute
average	
commute frequency
relative	
frequency	
16–17.9 1 1/15≈0.07
18–19.9 2 2/15≈0.13
20–21.9 1 1/15≈0.07
22–23.9 6 6/15≈0.40
24–25.9 2 2/15≈0.13
26–27.9 1 1/15≈0.07
28–29.9 1 1/15≈0.07
30–31.9 1 1/15≈0.07
Paul Marx | Principles of survey research
Cumulative	Tables	and	Ogives
167
average	
commute
relative	
frequency
cumulative
relative	
frequency
16–17.9 1/15≈ 0.07 1/15≈ 0.07
18–19.9 2/15≈ 0.13 2/15≈ 0.20
20–21.9 1/15≈ 0.07 1/15≈ 0.27
22–23.9 6/15≈ 0.40 6/15≈ 0.67
24–25.9 2/15≈ 0.13 2/15≈ 0.80
26–27.9 1/15≈ 0.07 1/15≈ 0.87
28–29.9 1/15≈ 0.07 1/15≈ 0.94
30–31.9 1/15≈ 0.07 1/15≈ 1.00
Cumulative	tables
show	the	sum	of	values	up	to	and	including	
that	particular	category.
An ogive	
is	a	graph	that	represents	the	cumulative	
frequency	or	cumulative	relative	frequency	
for	the	class.
average	
commute frequency
cumulative	
frequency
16–17.9 1 1
18–19.9 2 3
20–21.9 1 4
22–23.9 6 10
24–25.9 2 12
26–27.9 1 13
28–29.9 1 14
30–31.9 1 15
0
0,2
0,4
0,6
0,8
1
1,2
17 19 21 23 25 27 29 31 33
Cumulative	Relative	Frequency
Time	(minutes)
Average	Daily	Commute
Paul Marx | Principles of survey research
5.Data	Analysis:	A	Concise	Overview	of	Statistical	Techniques
5.1	Descriptive	Statistics:	Some	popular	Displays	of	Data
5.1.1	Organizing	Qualitative	Data
5.1.2	Organizing	Quantitative	Data
5.1.3	Summarizing	Data	Numerically
5.1.4	Cross-Tabulations
5.2	Inferential	Statistics:	Can	the	Results	Be	Generalized	to	Population?
5.2.1	Hypotheses	Testing
5.2.2	Strength	of	a	Relationship	in	Cross-Tabulation
5.2.3	Describing	the	Relationship	between	Two	(Ratio	Scaled)	Variables
168
Paul Marx | Principles of survey research
Measures	of	Central	Tendency
169
Mean
𝑥̅ =
𝑥H + 𝑥1 + ⋯ + 𝑥J
𝑛
=
∑ 𝑥L
𝑛 Sum	of	each	item Sum	of	average	items
Mean	is	the	“center	of	gravity”	-
like	the	balance	point
Advantages:
• It	works	well	for	lists	that	are	simply	combined	(added)	
together.
• Easy	to	calculate:	just	add	and	divide.
• It’s	intuitive	— it’s	the	number	“in	the	middle”,	pulled	up	by	
large	values	and	brought	down	by	smaller	ones.
Disadvantages:
• The	average	can	be	skewed	by	outliers	— it	doesn’t	deal	
well	with	wildly	varying	samples.	
• The	average	of	100,	200	and	-300	is	0,	which	is	misleading.
Paul Marx | Principles of survey research
Measures	of	Central	Tendency
170
Median
Median	is	the	item	in	the	middle
of	a	sorted	list	
Advantages:
• Handles	outliers	well	— often	the	most	accurate	
representation	of	a	group
• Splits	data	into	two	groups,	each	with	the	same	number	of	
items
Disadvantages:
• Can	be	harder	to	calculate:	you	need	to	sort	the	list	first
• Not	as	well-known;	when	you	say	“median”,	people	may	
think	you	mean	“average”
50%	below 50%	above
𝑥M = N
𝑥(OPH)/1																		
1
2
𝑥O/1 + 𝑥O/1PH 	
for	odd n
for	even	n
Paul Marx | Principles of survey research
Measures	of	Central	Tendency
171
Mode
count
item
Mode	is	the	most	frequent	
observation	of	the	variable
Advantages:
• Works	well	for	exclusive	voting	situations	(this	choice	or	
that	one;	no	compromise),	i.e.,	for	nominal	data
• Gives	a	choice	that	the	most	people	wanted	(whereas	the	
average	can	give	a	choice	that	nobody	wanted).
• Simple	to	understand
Disadvantages:
• Requires	more	effort	to	compute	(have	to	tally	up	the	votes)
• “Winner	takes	all”	— there’s	no	middle	path
The	mode	of
is
Paul Marx | Principles of survey research
Measures	of	Central	Tendency:
Using	Mean	and	Median	to	Identify	the	Distribution	Shape
172
symmetric
mean	and	median
approximately	equal
left-skewed
median
mean	is
“pulled”	down
right-skewed
median
mean	is
“pulled”	up
Paul Marx | Principles of survey research
Measures	of	Dispersion
173
𝜎1
=
∑ 𝑥L − 𝜇 1
𝑛
Population
Variance
Sample
Variance 𝑠1
=
∑ 𝑥L − 𝑥̅ 1
𝑛 − 1
Variance	is	the	average	of	the	
squared	distance	form	the	mean
Heights	of	the	2008	US	Men's	Olympic	Basketball	Team
Paul Marx | Principles of survey research
Mean	acts	as	a	balancing	point.	Hence,	the	average	difference	from	
the	mean	will	equal	zero.
When	calculating	variance,	all	differences	are	squared,	so	that	
negative	differences	do	not	compensate	positive	differences.
Measures	of	Dispersion
174
Sample
Variance 𝑠1
=
∑ 𝑥L − 𝑥̅ 1
𝑛 − 1
Heights	of	the	2008	US	Men's	Olympic	Basketball	Team
𝑥̅ =
1.5 + 2.5 + 3.5 − 0.5 + 4.5 + 1.5 − 2.5 − 6.5 + 2.5 − 0.5 − 2.5 − 3.5
12
= 0
𝑠1
=
117
12 − 1
≈ 10.6
Why	Variance?
Paul Marx | Principles of survey research
Which	data	set	has	a	higher	standard	deviation?
Measures	of	Dispersion
175
Standard
Deviation
𝑠 = 𝑠1
Standard	Deviation	
keeps	the	units	of	the	original	measure
𝜎 = 𝜎1
𝑠 = 10,6 ≈ 3.3
𝑠1
=
117
12 − 1
≈ 10.6 square	inches
inches
Paul Marx | Principles of survey research
Relationship	between	the	Standard	Deviation	and	the	
Shape	of	the	Normal	Distribution
176
99,7%	of	the	data	are	within
3	standard	deviations	of	the	mean
95%	within
2	standard	deviations
68%	within	
1	standard	
deviation
©	Dan	Kernler
Paul Marx | Principles of survey research
5.Data	Analysis:	A	Concise	Overview	of	Statistical	Techniques
5.1	Descriptive	Statistics:	Some	popular	Displays	of	Data
5.1.1	Organizing	Qualitative	Data
5.1.2	Organizing	Quantitative	Data
5.1.3	Summarizing	Data	Numerically
5.1.4	Cross-Tabulations
5.2	Inferential	Statistics:	Can	the	Results	Be	Generalized	to	Population?
5.2.1	Hypotheses	Testing
5.2.2	Strength	of	a	Relationship	in	Cross-Tabulation
5.2.3	Describing	the	Relationship	between	Two	(Ratio	Scaled)	Variables
177
Paul Marx | Principles of survey research
Cross-Tabulations
178
Cross-Tabulations
Cross-Tabulations	are	tables	that	reflect	the	joint	distribution	of	two	(or	
more)	variables	with	a	limited	number	of	categories	or	distinct	values.
• help	to	understand	how	one	variable	(e.g.,	brand	loyalty)	relates	to	
another	variable	(e.g.,	sex)
• a	cross-tabulation	table	contains	a	cell	for	every	combination	of	
categories	of	two	(or	more)	variables	
Examples:
• How	many	brand-loyal	users	are	males?
• Is	product	use	(heavy	users,	medium	users,	light	
users,	and	non-users)	related	to	outdoor	
activities	(high,	medium	and	low)?
• Is	familiarity	with	a	new	product	related	to	age	
and	education	levels?
• Is	product	ownership	related	to	income	(height,	
medium,	and	low)?
Paul Marx | Principles of survey research
Cross-Tabulation
179
Education
Own	Expensive	Automobile College	Degree No	College	Degree
yes 32 % 21 %
no 68 % 79 %
Column	total 100 % 100 %
Number	of	cases 250 750
Does	education	influence	ownership	of	expensive	automobiles?
Ownership	of	Expensive	Automobiles	by	Education	Level
Paul Marx | Principles of survey research
Cross-Tabulation
180
Sometimes	introducing	a	third	variable	can	
reveal
spurious	relationship
suppressed	association
no	change	in	initial	relationship
Paul Marx | Principles of survey research
Cross-Tabulation
181
Does	education	influence	ownership	of	expensive	automobiles?
Ownership	of	Expensive	Automobiles	by	Education	and	Income	Levels
Low	Income High	Income
Own	Expensive	Automobile College	Degree No	College	Degree College	Degree No	College	Degree
yes 20 % 20 % 40 % 40 %
no 80 % 80 % 60 % 60 %
Column	total 100 % 100 % 100 % 100 %
Number	of	cases 100 700 150 50
Does	it?
Paul Marx | Principles of survey research
Cross-Tabulation
182
Does	age	influence	desire	to	travel?
Desire	to	Travel	Abroad	by	Age
Ages
Desire	to	travel	abroad Less	than	45 45	or more
yes 50 % 50 %
no 50 % 50 %
Column	total 100 % 100 %
Number of	cases 500 500
Male Female
Desire	to	travel	abroad <	45 ≥	45 <	45 ≥	45
yes 60 % 40 % 35 % 65 %
no 40 % 60 % 65 % 35 %
Column	total 100 % 100 % 100 % 100 %
Number of	cases 300 300 200 200
Desire	to	Travel	Abroad	by	Age	and	Sex
Paul Marx | Principles of survey research
Cross-Tabulation
183
Does	family	size	influence	frequency	of	eating	in	fast-food	restaurants?
Eating	Frequency	in	Fast-Food	Restaurants	by	Family	Size
Eat frequently	in	fast-food	
restaurants
Family	size
Small Large
yes 50 % 50 %
no 50 % 50 %
Column	total 100 % 100 %
Number of	cases 500 500
Eat frequently	in	fast-food	
restaurants
Low	income High	income
Small Large Small Large
yes 50 % 50 % 50 % 50 %
no 50 % 50 % 50 % 50 %
Column	total 100 % 100 % 100 % 100 %
Number of	cases 250 250 250 250
Eating	Frequency	in	Fast-Food	Restaurants	by	Family	Size	and	Income
Paul Marx | Principles of survey research
5.Data	Analysis:	A	Concise	Overview	of	Statistical	Techniques
5.1	Descriptive	Statistics:	Some	popular	Displays	of	Data
5.1.1	Organizing	Qualitative	Data
5.1.2	Organizing	Quantitative	Data
5.1.3	Summarizing	Data	Numerically
5.1.4	Cross-Tabulations
5.2	Inferential	Statistics:	Can	the	Results	Be	Generalized	to	Population?
5.2.1	Hypotheses	Testing
5.2.2	Strength	of	a	Relationship	in	Cross-Tabulation
5.2.3	Describing	the	Relationship	between	Two	(Ratio	Scaled)	Variables
184
Paul Marx | Principles of survey research
5.Data	Analysis:	A	Concise	Overview	of	Statistical	Techniques
5.1	Descriptive	Statistics:	Some	popular	Displays	of	Data
5.1.1	Organizing	Qualitative	Data
5.1.2	Organizing	Quantitative	Data
5.1.3	Summarizing	Data	Numerically
5.1.4	Cross-Tabulations
5.2	Inferential	Statistics:	Can	the	Results	Be	Generalized	to	Population?
5.2.1	Hypotheses	Testing
5.2.2	Strength	of	a	Relationship	in	Cross-Tabulation
5.2.3	Describing	the	Relationship	between	Two	(Ratio	Scaled)	Variables
185
Paul Marx | Principles of survey research
Hypothesis	Testing
186
Hypothesis	Testing
Hypothesis	Testing	is a	five-step	procedure	using	sample	evidence	and	
probability	theory	to	determine	whether	the	hypothesis	is	a	reasonable	
statement.	
In	other	words,	it	is	a	method	to	prove	whether	or	not	the	results	
obtained	on	a	randomly	drawn	sample	are	projectable	to	the	whole	
population.	
Procedure:
1. State	null	and	alternative	hypothesis
2. Select	a	level	of	significance
3. Identify	the	test	statistic
4. Formulate	a	decision	rule
5. Take	a	sample,	arrive	at	a	decision
"People	are	'erroneously	confident'	in	their	knowledge	and	underestimate	
the	odds	that	their	information	or	beliefs	will	be	proved	wrong.	They	tend	
to	seek	additional	information	in	ways	that	confirm	what	they	already	
believed."	
Max	Bazerman
Paul Marx | Principles of survey research
Hypothesis	Testing
187
Sex
Internet	usage Male Female Row	total
light 5 10 15
heavy 10 5 15
Column total 15 15 n=30
Sex	and	Internet	Usage
Based	on	this	sample:	
Q:	Are	there	really	more	heavy	internet	users	among	males	
than	among	females	in	the	general	population?
Paul Marx | Principles of survey research
Hypothesis	Testing
188
Step	1:	State	null	and	alternative	hypothesis
A null	hypothesis	( 𝑯 𝟎)	 is	a	statement	of	status	quo,	
one	of	no	difference	or	no	effect.
An	alternative	hypothesis	( 𝑯 𝟏)	is	one	in	which	some	
difference	or	effect	is	expected.
𝑯 𝟎: There	is	no	difference	between	males	and	females	w.r.t.	
internet	usage.
𝑯 𝟏: Males	and	females	expose	different	internet	usage	
behavior.
𝐼𝑈` = 𝐼𝑈a
𝐼𝑈` ≠ 𝐼𝑈a
Paul Marx | Principles of survey research
Hypothesis	Testing
189
Step	2:	Select	a	level	of	significance
Significance	( 𝜶)	– probability	of	rejecting	a	true	null	
hypothesis.
𝜷 – probability	of	accepting	a	false	null	hypothesis.
Null	hypothesis (𝐻0)	
is true
Null hypothesis	(𝐻0)	
is false
Reject	null	hypothesis
Type	I	error
False	positive
Correct	outcome
True	positive
Fail	to	reject	null	
hypothesis
Correct outcome
True	negative
Type	II	error
False negative
𝛽
(1 − 𝛽) – power	of	test
𝛼	– significance
Paul Marx | Principles of survey research
Null	hypothesis (𝐻0)	
is true
Null hypothesis	(𝐻0)	
is false
Reject	null	hypothesis
Type	I	error
False	positive
Correct	outcome
True	positive
Fail	to	reject	null	
hypothesis
Correct outcome
True	negative
Type	II	error
False negative
Hypothesis	Testing
190
acquit	a	criminal	
convict	an	innocent
Analogy: innocence	in	a	criminal	trial
𝐻0: the	defendant	is	innocent
Step	2:	Select	a	level	of	significance
Significance	( 𝜶)	– probability	of	rejecting	a	true	null	
hypothesis.
𝜷 – probability	of	accepting	a	false	null	hypothesis.
Paul Marx | Principles of survey research
Null	hypothesis (𝐻0)	
is true
Null hypothesis	(𝐻0)	
is false
Reject	null	hypothesis
Type	I	error
False	positive
Correct	outcome
True	positive
Fail	to	reject	null	
hypothesis
Correct outcome
True	negative
Type	II	error
False negative
Hypothesis	Testing
191
you	continue	your	business	near	
the	bush	but	a	lion	is	there
there	is	no	lion	but	you	run	away
Analogy:	Rustle	in	the	bush	– is	it	a	lion?
𝐻0: there	is	no	lion	in	the	bush
Step	2:	Select	a	level	of	significance
Significance	( 𝜶)	– probability	of	rejecting	a	true	null	
hypothesis.
𝜷 – probability	of	accepting	a	false	null	hypothesis.
Paul Marx | Principles of survey research
Hypothesis	Testing
192
Levels	of	significance	in	marketing	research
𝛼	– level	of	significance (1 − 𝛼)	– level	of	confidence
0.01	(1%)
0.05	(5%)
0.99	(99%)
0.95	(95%)
Step	2:	Select	a	level	of	significance
Significance	( 𝜶)	– probability	of	rejecting	a	true	null	
hypothesis.
𝜷 – probability	of	accepting	a	false	null	hypothesis.
Paul Marx | Principles of survey research
Hypothesis	Testing
193
Step	3:	Identify	the	test	statistic
Sample Application Level	of	scaling Test/Comments
One	Sample
Distributions Non-metric
Kolmogorow-Smirnow and	χ2
test	for	goodness	of	fit;	Runs	test	for	randomness;	
Binomial	test	for	goodness	of	fit	of	dichotomous	variables
Means Metric
t test,	if	variance	is	unknown
z test,	if	variance	is	known
Proportions Metric z test
Two	Independent	
Samples
Distributions Non-metric
Kolmogorow-Smirnow two-sample	test	for	equality	of	two	distributions
Means Metric
Two-group	t test
F test	for	equality	of	variances
Proportions Metric
Non-metric
z test
χ2
test
Ranking/Medians Non-metric Mann-Whitney	U test	is	more	powerful	than	the	median	test
Paired	Samples
Means Metric paired	t test
Proportions Non-metric
McNemar test	for	binary	variables,	
χ2
test
Ranking/Medians Non-metric Wilcoxon	matched-pairs	ranked-signs	test	is	more	powerful	than	the	sign	test
Paul Marx | Principles of survey research
Hypothesis	Testing
194
Step	3:	Identify	the	test	statistic
Sample Application Level	of	scaling Test/Comments
One	Sample
Distributions Non-metric
Kolmogorow-Smirnow and	χ2
test	for	goodness	of	fit;	Runs	test	for	randomness;	
Binomial	test	for	goodness	of	fit	of	dichotomous	variables
Means Metric
t test,	if	variance	is	unknown
z test,	if	variance	is	known
Proportions Metric z test
Two	Independent	
Samples
Distributions Non-metric
K-S	two-sample	test	for	equality	of	two	distributions
Means Metric
Two-group	t test
F test	for	equality	of	variances
Proportions Metric
Non-metric
z test
χ2
test
Ranking/Medians Non-metric Mann-Whitney	U test	is	more	powerful	than	the	median	test
Paired	Samples
Means Metric paired	t test
Proportions Non-metric
McNemar test	for	binary	variables,	
χ2
test
Ranking/Medians Non-metric Wilcoxon	matched-pairs	ranked-signs	test	is	more	powerful	than	the	sign	test
!
In	our	example,	we	deal	with	one-sample	distribution	of	a	non-metric	variable	
(light	or	heavy	internet	usage)
Paul Marx | Principles of survey research
Hypothesis	Testing
195
Step	3:	Identify	the	test	statistic
χ2	(chi-square)	statistic	for	goodness	of	fit	is	used	to	test	the	statistical	
significance	of	the	observed	association	in	a	cross-tabulation
𝐻0:	There	is	no	association	between	the	variables
χ2	(chi-square)	tests	the	equality	of	frequency	distributions.	
Which	distributions/frequencies	should	we	test?
𝑓 𝑒	– cell	frequencies	that	would	be	expected	if	no	association	were	present	
between	the	variables
𝑓 𝑜	– actual	observed	cell	frequencies
Paul Marx | Principles of survey research
Hypothesis	Testing
196
Step	3:	Identify	the	test	statistic
𝑓h =
𝑛4 𝑛2
𝑛
𝑛4	– total	number	in	the	row
𝑛2 – total	number	in	the	column
𝑛 – total	sample	size
𝑓hi,i
=
15 j 15
30
= 7,5 𝑓hi,k
=
15 j 15
30
= 7,5
𝑓hk,i
=
15 j 15
30
= 7,5 𝑓hk,k
=
15 j 15
30
= 7,5
𝑓 𝑒	– cell	frequencies	that	would	be	expected	if	no	association	were	present	
between	the	variables
𝑓 𝑜	– actual	observed	cell	frequencies
Paul Marx | Principles of survey research
Hypothesis	Testing
197
Step	3:	Identify	the	test	statistic
In	our	example:
𝜒1
=
(mno.m)k
o.m
+
(Hpno.m)k
o.m
+
(Hpno.m)k
o.m
+
(mno.m)k
o.m
= 0.833 + 0.833 + 0.833 + 0.833 = 3.333
𝜒1 = r
(𝑓3 − 𝑓h)1
𝑓hall	cells
𝑓 𝑒	– cell	frequencies	that	would	be	expected	if	no	association	were	present	
between	the	variables
𝑓 𝑜	– actual	observed	cell	frequencies
Paul Marx | Principles of survey research
Hypothesis	Testing
198
Step	4:	Formulate	a	decision	rule
𝑻𝑺 𝒄𝒂𝒍 – observed	value	of	the	test	statistic.
𝑻𝑺 𝒄𝒓 – critical	value	of	the	test	statistic	for	a	given	
significance	level.
If	probability	of	𝑻𝑺 𝒄𝒂𝒍 < significance	level	(𝜶),	then reject	𝑯 𝟎.	
or
If 𝑻𝑺 𝒄𝒂𝒍 > 𝑻𝑺 𝒄𝒓	,	then	reject 𝑯 𝟎.
Paul Marx | Principles of survey research
Hypothesis	Testing
199
Step	4:	Formulate	a	decision	rule
If	probability	of	𝑻𝑺 𝒄𝒂𝒍 < significance	level	(𝜶),	then reject	
𝑯 𝟎.	
or
If 𝑻𝑺 𝒄𝒂𝒍 > 𝑻𝑺 𝒄𝒓	,	then	reject 𝑯 𝟎.
𝑑𝑓
Table	of	critical	values	of	χ2 for	different	levels	of	significance	𝛼
𝑑𝑓 – degrees	of	freedom
𝑟 – number	of	rows
𝑐 – number	of	columns
𝑑𝑓 = 𝑟 − 1 𝑐 − 1
𝑑𝑓 = 2 − 1 2 − 1 = 1
𝜒2|}
1
= 3.333
𝜒24
1
= 3.841
3.333 < 3.841
𝜒2|}
1
< 𝜒24
1
𝐻0 cannot	be	rejected
Paul Marx | Principles of survey research
Hypothesis	Testing
200
Step	5:	Arrive	at	a	decision Is	the	evidence	there?
What	are	the	consequences?
• 𝑯 𝟎 of	no	association	cannot	be	rejected
• Association	is	not	statistically	significant	at	the	.05	level
• The	findings	from	the	sample	cannot	be	generalized	to	population
Paul Marx | Principles of survey research
Hypothesis	Testing
201
Sex
Internet	usage Male Female Row	total
light 5 10 15
heavy 10 5 15
Column total 15 15 n=30
Sex	and	Internet	Usage
Based	on	this	sample:	
Q:	Are	there	really	more	heavy	internet	users	among	males	than	
among	females	in	the	general	population?
A:	The	sample	doesn’t	provide	such	evidence.
If	the	sample	was	chosen	and	drawn	appropriately,	then	we	can	
state	that	there	is	no	such	relationship	in	the	population	at	the	
95%	confidence	level.
Otherwise	- we	don’t	know.
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Principles of Survey Research (questionStar)

  • 1. Paul Marx | Principles of survey research Principles of Survey Research 1 introductory course
  • 2. Paul Marx | Principles of survey research Contents 1. Introduction 1.1 Market Research and Survey 1.2 Types of Market Research 2. Survey: Measurement and Scaling 2.1 Introduction 2.2 Comparative Scales 2.3 Non-Comparative Scales 2.4 Multi-item Scales 2.5 Reliability and Validity 3. Questionnaire 3.1 Asking Questions 3.2 Overcoming Inability to Answer 3.3 Overcoming Unwillingness to Answer 3.4 Increasing Willingness of Respondents 3.5 Determining the Order of Questions 3.6 What’s Next? 4. Sampling 4.1 Non-probability Sampling 4.2 Probability Sampling 4.3 Choosing Non-probability vs. Probability Sampling 4.4 Sample Size 5. Data Analysis: A Concise Overview of Statistical Techniques 5.1 Descriptive Statistics: Some popular Displays of Data 5.1.1 Organizing Qualitative Data 5.1.2 Organizing Quantitative Data 5.1.3 Summarizing Data Numerically 5.1.4 Cross-Tabulations 5.2 Inferential Statistics: Can the Results Be Generalized to Population? 5.2.1 Hypotheses Testing 5.2.2 Strength of a Relationship in Cross-Tabulation 5.2.3 Describing the Relationship between Two (Ratio Scaled) Variables 6. Advanced Techniques of Market Analysis: A Brief Overview of Some Useful Concepts 6.1 Conjoint-Analysis 6.2 Market Simulations 6.3 Segmentation 6.4 Perceptual Positioning Maps 7. Reporting Results 2
  • 3. Paul Marx | Principles of survey research 1.Introduction 1.1 Market Research and Survey 1.2 Types of Market Research 3
  • 4. Paul Marx | Principles of survey research 1.Introduction 1.1 Market Research and Survey 1.2 Types of Market Research 4
  • 5. Paul Marx | Principles of survey research What is Research? Research is the systematic investigation into and study of materials and sources in order to establish facts and reach new conclusions. (Oxford Dictionaries) 5 Research is the searching for and gathering of information and ideas in response to a specific question. (Unknown author)
  • 6. Paul Marx | Principles of survey research Survey Research 6 Survey - The most popular technique for gathering primary data in which a researcher interacts with people to obtain facts, opinions, and attitudes.
  • 7. Paul Marx | Principles of survey research The Essence of Market Research 7 Researcher Decision Maker Obvious Measurable Symptoms Real Business/Decision Problems Unhappy Customers Decreased Market Share Loss of Sales Low Traffic Low-Quality Products Poor Image Marginal Performance of Sales Force Inappropriate Delivery System Unethical Treatment of Customers Decision Problem Definition
  • 8. Paul Marx | Principles of survey research Who Why Sociology and Political Science Public opinion research, identification of population's attitudes towards socially important phenomena, events, and facts… Psychology Personality tests, intelligence tests, identification of individual strengths and weaknesses psychological stability, cognitive disorders, social influence… Human Resources Measurement of employee satisfaction, loyalty, potential, personality traits and leadership skills, productivity and quality of work, professional fit, resistance to stress, social intelligence, work-life balance… Marketing Market and consumer research, measurement of perception of image, preferences, attitudes, satisfaction with product and/or service, loyalty, willingness to pay; segmentation, positioning, new product development, evaluation of market potentials, pricing and price setting, advertising tests, ease of web-site navigation, user feedback, willingness to recommend... Science (in general) Study of relationships between two or more variables, factors, phenomena; development of scales and survey techniques for practical use… Education Knowledge tests (quizzes, exams), evaluation of students and/or teachers… … … Practical Application of Surveys 8
  • 9. Paul Marx | Principles of survey research Market Research Process Define the Research problem Develop the research plan Collect data Analyze data Report findings 9 ⁻ identify and clarify information needs ⁻ define research problem and questions ⁻ specify research objectives ⁻ confirm information value If a problem is vaguely defined, the results can have little bearing on the key issues Decide on ⁻ budget ⁻ data sources ⁻ research approaches ⁻ sampling plan ⁻ contact methods ⁻ methods of data analysis The plan needs to be decided upfront but flexible enough to incorporate changes or iterations ⁻ collect data according to the plan or ⁻ employ an external firm This phase is the most costly and the most liable to error Analyze data ⁻ statistically or ⁻ subjectively and infer answers and implications Type of data analysis depends on type of research - Formulate conclusions and implications from data analysis - prepare finalized research report Overall conclusions to be presented rather than overwhelming statistical methodologies
  • 10. Paul Marx | Principles of survey research When NOT to Conduct Market Research Occasion Comments Vague objectives When managers cannot agree on what they need to know to make a decision. Market research cannot be helpful unless it is probing a particular issue. Closed mindset When decision has already been made. Research is used only as a rubber stamp of a preconceived idea. Late timing When research results come too late to influence the decision. Poor timing If a product is in a “decline” phase there is little point in researching new product varieties. Lack of resources If quantitative research is needed, it is not worth doing unless a statistically significant sample can be used. When funds are insufficient to implement any decisions resulting from the research. Costs outweigh benefits The expected value of information should outweigh the costs of gathering an analyzing the data.. Results not actionable Where, e.g., psychographic data is used which will not help he company form firm decisions. 10
  • 11. Paul Marx | Principles of survey research 1.Introduction 1.1 Market Research and Survey 1.2 Types of Market Research 11
  • 12. Paul Marx | Principles of survey research Types of Market Research 12 By Objectives • Exploratory (a.k.a. diagnostic) • Descriptive • Causal (a.k.a. predictive, experimental) By Data Source • Primary • Secondary By Methodology • Qualitative • Quantitative
  • 13. Paul Marx | Principles of survey research Market Research by Objectives •Explaining data or actions to help define the problem •What was the impact on sales after change in the package design? •Do promotions at POS influence brand awareness? Exploratory a.k.a. diagnostic •Gathering and presenting factual statements: who, what, when, where, how •What is historic sales trend in the industry? •What are consumer attitudes toward our product? Descriptive •Probing cause-and-effect relationships; “What if?” •Specification of how to use the research to predict •the results of planned marketing decisions •Does level of advertising determine level of sales? Causal a.k.a. predictive, experimental 13 Survey of a small sample, focus groups, depth interviews,,… Survey of a large representative sample, observation, … Experiments, A&B tests, consumer panels, … Uncertainty influences the type of research UncertainCertain
  • 14. Paul Marx | Principles of survey research Market Research by Data Source 14 • Original research to collect new raw data for a specific reason. This data is then analyzed and may be published by the researcher. Primary • Research data that has been previously collected, analyzed and published in the form of books, articles, etc. Secondary Survey, Interviews, observation, experiments, … Literature review, library, web, database, archive,…
  • 15. Paul Marx | Principles of survey research Market Research by Methodology 15 • Involves collecting and measuring data • Often requires large data sets. For example, large number of people. • Uses statistical methods to analyze data • Aims to achieve objective/scientific view of the subject Quantitative • Involves understanding human behavior and the reasons behind it • Focus is on individuals and small groups • Objectivity is not the goal, the aim is to understand one point of view, not all points of view. • Usually not representative Qualitative Survey of a large representative sample, observation, … Survey of a small sample, focus groups, depth interviews,,…
  • 16. Paul Marx | Principles of survey research 16 APPARENT TRUTH Literature Review InterviewSurvey Triangulation Robson (1998), Visocky & Visocky (2009)
  • 17. Paul Marx | Principles of survey research 17
  • 18. Paul Marx | Principles of survey research 2.Survey: Measurement and Scaling 2.1 Introduction 2.2 Comparative Scales 2.3 Non-Comparative Scales 2.4 Multi-item Scales 2.5 Reliability and Validity 18
  • 19. Paul Marx | Principles of survey research 2.Survey: Measurement and Scaling 2.1 Introduction 2.2 Comparative Scales 2.3 Non-Comparative Scales 2.4 Multi-item Scales 2.5 Reliability and Validity 19
  • 20. Paul Marx | Principles of survey research Measurement Measurement – assigning numbers or other symbols to characteristics of objects according to certain pre- specified rule - one-to-one correspondence between the numbers and characteristics being measured - the rules for assigning numbers should be standardized and applied uniformly - rules must not change over objects or time 20
  • 21. Paul Marx | Principles of survey research Scaling Scaling – involves creating a continuum upon which measured objects are located. 21 Extremely favorable Extremely unfavorable
  • 22. Paul Marx | Principles of survey research Primary Scales of Measurement 22 • numbers serve as labels for identifying and classifying objects • not continuosNominal • numbers indicate the relative positions of objects • but not the magnitude of difference between themOrdinal • differences between objects can be compared • zero point is arbitraryInterval • zero point is fixed • ratios of scale values can be computedRatio a.k.a. metric or 1 2 1 2 1 2 NOT 3 1 2 1 2 3 My preference as a snack food moreless 0 25 50 75 100 Weight(kg)
  • 23. Paul Marx | Principles of survey research Primary Scales of Measurement Scale Basic Characteristics Common Examples Marketing Examples Permissible Statistics Descriptive Inferential Nominal Numbers identify and classify objects Social security numbers, numbering of football players Brand numbers, store types sex, classification Percentages, mode Chi-square, binomial test Ordinal Numbers indicate the relative positions of the objects but not the magnitude of differences between them Quality rankings, ranking of teams in tournament Preference rankings, market position, social class Percentile, median Rank-order correlation, Friedman ANOVA Interval Differences between objects can be compared; zero point is arbitrary Temperature (Fahrenheit, Centigrade) Attitudes, opinions, index numbers Range, mean, standard deviation Product-moment correlations, t-tests, ANOVA, regression, factor analysis Ratio Zero point is fixed; ratios of scale values can be compared Length, weight, time, money Age, income, costs, sales, market shares Geometric mean, harmonic mean Coefficient of variation 23
  • 24. Paul Marx | Principles of survey research Classification of Scaling Techniques Scaling Techniques Comparative Scales Paired Comparison Rank Order Constant Sum Q-Sort & others Non- comparative Scales Continuous Rating Scales Itemized Rating Scales Likert Semantic Differential Stapel 24
  • 25. Paul Marx | Principles of survey research Comparison of Scaling Techniques 25 Comparative Scales • involve the direct comparison of stimulus objects. • data must be interpreted in relative terms • have only ordinal and rank- order properties Non-comparative Scales • each object is scaled independently • resulting data is generally assumed to be interval or ratio scaled - nature of the research - variability in the population - statistical considerations
  • 26. Paul Marx | Principles of survey research 2.Survey: Measurement and Scaling 2.1 Introduction 2.2 Comparative Scales 2.3 Non-Comparative Scales 2.4 Multi-item Scales 2.5 Reliability and Validity 26
  • 27. Paul Marx | Principles of survey research Classification of Scaling Techniques Scaling Techniques Comparative Scales Paired Comparison Rank Order Constant Sum Q-Sort & others Non- comparative Scales Continuous Rating Scales Itemized Rating Scales Likert Semantic Differential Stapel 27
  • 28. Paul Marx | Principles of survey research Relative Advantages of Comparative Scales 28 + small differences between stimulus objects can be detected + same known reference points for all respondents + easy to understand and to use + involve fewer theoretical assumptions + tend to reduce halo or carryover effects from one judgement to another Advantages - have only ordinal and rank-order properties ⟶ limited set of statistical methods available for analysis - data must be interpreted in relative terms - Inability to generalize beyond the set of compared objects Disadvantages
  • 29. Paul Marx | Principles of survey research Comparative Scales: Paired Comparison 29 Respondent is presented with two objects and asked to select one according to some criterion We are going to present you with ten pairs of beer brands. For each pair, please indicate which one of the two brands of beer you would prefer to purchase. Heineken Beck’s Coors Budweiser Miller Heineken Beck’s Coors Budweiser Miller #Preferred 3 2 0 4 1 Paired Comparison
  • 30. Paul Marx | Principles of survey research Paired Comparison Scales: Examples 30
  • 31. Paul Marx | Principles of survey research Paired Comparison: Pros-and-Cons 31 + direct comparison and overt choice + good for blind tests, physical products, and MDS + allows for calculation of percentage of respondents who prefer one stimulus to another + can assess rank-orders of stimuli (under assumption of transitivity) + possible extensions: “no difference” alternative; graded comparison Advantages - # of comparisons grows quicker than # of stimuli (for n objects n(n-1)/2 comparisons) - presentation order bias possible - preference of A over B does not imply subject’s liking of A - little similarity to real choice situation with multiple alternatives - violations of transitivity may occur Disadvantages
  • 32. Paul Marx | Principles of survey research > > Ordinal Data: violations of transitivity in paired comparison 32
  • 33. Paul Marx | Principles of survey research Ordinal data: violations of transitivity when aggregating preferences 33 Respondent #1 Respondent #2 Respondent #3 Votes count Result: 2 vs 1 2 vs 1 2 vs 1 Apple is both the best and the worst alternative. Aggregated preferences of the group are inconsistent! Voting
  • 34. Paul Marx | Principles of survey research Comparative Scales: Rank Order Scaling 34 Respondents are presented with several objects simultaneously and are asked to order or rank them according to some criterion Rank the various brands of soft drinks in order of preference. Begin by picking out the one brand that you like most and assign it a number 1. Then find the second most preferred brand and assign it a number 2. Continue this procedure until you have ranked all the brands of soft drinks in order of preference. The least preferred brand should be assigned a rank of 5. No two brands should receive the same rank number. The criterion of preference is entirely up to you. There is no right or wrong answer. Just try to be consistent. Rank Order Scaling Brand Rank Order Pepsi ______________ Coke ______________ Red Bull ______________ Mountain Dew ______________ Kvas ______________
  • 35. Paul Marx | Principles of survey research Rank Oder Scales: Example 35 ©ExavoGmbH, exavo.de
  • 36. Paul Marx | Principles of survey research Rank Oder Scales: Examples 36 ©ExavoGmbH, exavo.de
  • 37. Paul Marx | Principles of survey research Rank Oder Scales: Example 37 ©ExavoGmbH, exavo.de
  • 38. Paul Marx | Principles of survey research Rank Oder Scales: Pros-and-Cons 38 + direct comparison + more realistic than paired comparison + # of comparisons is only (n-1) + easier to understand + takes less time + no intransitive responses + can be converted to paired comparison data + good for measuring preferences of brands or attributes; conjoint analysis Advantages - preference of A over B does not imply subject’s liking of A - no zero point / separation between liking and disliking - only ordinal data - violations of transitivity may occur Disadvantages
  • 39. Paul Marx | Principles of survey research Comparative Scales: Constant Sum Scaling 39 Respondents allocate a constant sum of units (points, dollars, chips, %) among a set of stimulus objects with respect to some criterion Below are five attributes of cars. Please allocate 100 points among the attributes so that your allocation reflects the relative importance you attach to each attribute. The more points an attribute receives, the more important the attribute is. If an attribute is not at all important, assign it zero points. If an attribute is twice as important as some other attribute, it should receive twice as many points. Constant Sum Attribute Points Speed 0 Comfort 15 Gear Type 5 Fuel Type (gasoline/diesel) 35 Price 45 sum 100
  • 40. Paul Marx | Principles of survey research Constant Sum Scaling: Example of Analysis 40 Attribute Segment 1 Segment 2 Segment 3 Speed 0 17 53 Comfort 15 23 30 Gear Type 5 21 10 Fuel Type (gasoline/diesel) 35 12 7 Price 45 27 0 sum 100 100 100 Average response of three segments
  • 41. Paul Marx | Principles of survey research Constant Sum Scaling: Example 41 ©ExavoGmbH, exavo.de
  • 42. Paul Marx | Principles of survey research Constant Sum Scaling: Examples 42
  • 43. Paul Marx | Principles of survey research Constant Sum Scaling: Pros-and-Cons 43 + allows for fine discrimination among stimulus objects without requiring too much time + ratio scaled ⟶ flexible choice of data analysis methods Advantages - results are limited to the context of stimuli scaled, i.e., not generalizable to other stimuli not included in the study - relatively high cognitive burden for respondents, esp. when # of items is large - prone to calc. errors (e.g., allocation of 108 or 94 points) Disadvantages
  • 44. Paul Marx | Principles of survey research Comparative Scales: Q-Sort Scaling 44 A rank order procedure in which objects are sorted into piles based on similarity with respect to some criterion. Usually used to discriminate among a relatively large number (60-140) of objects quickly. The number of objects in each pile is limited, usually so that all piles imitate normal distribution. To prevent epidemics, the Ministry of Health has developed the following 25 measures recommended for implementation in hospitals. Please distribute these measures for preventing the spread of infections according to their importance using the scheme below. Please allocate only one measure per box. Q-Sort not at all important extremely important
  • 45. Paul Marx | Principles of survey research 2.Survey: Measurement and Scaling 2.1 Introduction 2.2 Comparative Scales 2.3 Non-Comparative Scales 2.4 Multi-item Scales 2.5 Reliability and Validity 45
  • 46. Paul Marx | Principles of survey research Classification of Scaling Techniques Scaling Techniques Comparative Scales Paired Comparison Rank Order Constant Sum Q-Sort & others Non- comparative Scales Continuous Rating Scales Itemized Rating Scales Likert Semantic Differential Stapel 46
  • 47. Paul Marx | Principles of survey research Non-Comparative Scales: Continuous Rating Scale 47 Respondents rate objects by placing a mark at the appropriate position on a line that runs from one extreme of the criterion variable to the other. How would you rate Wal-Mart as a department store? Continuous Rating Scale Probably the worst Probably the best Version 1 х Probably the worst Probably the best Version 2 х0 10 20 30 40 50 60 70 80 90 100 Probably the worst Probably the best Version 3 х0 20 40 60 80 100 very bad very good neither good nor bad Probably the worst Probably the best Version 4 very bad very good neither good nor bad 76
  • 48. Paul Marx | Principles of survey research Continuous Rating Scale: Perception Analyzer 48
  • 49. Paul Marx | Principles of survey research Itemized Rating Scales: Likert Scale 49 Requires respondents to indicate a degree of agreement or disagreement with each of a series of statements about the stimulus object within typically five to seven response categories. Listed below are different opinions about 7-Eleven. Please indicate how strongly you agree or disagree with each by using the following scale: Likert Scale Strongly disagree Disagree Neither agree nor disagree Agree Strongly agree 7-Eleven sells high-quality merchandise [1] [x] [3] [4] [5] 7-Eleven has poor in-store service [1] [x] [3] [4] [5] I like to shop in 7-Eleven [1] [2] [x] [4] [5] 7-Eleven does not offer a good mix of different brands within a product category [1] [2] [3] [x] [5] The credit policies at 7-Eleven are terrible [1] [2] [3] [x] [5] I do not like advertising done by 7-Eleven [1] [2] [3] [x] [5] 7-Eleven charges fair prices [1] [x] [3] [4] [5] NOTICE the reversed scoring of items 2,4,5, and 6. Reverse the scale for these items prior analyzing to be consistent with the whole set of items, i.e. a higher score should denote a more favorable attitude.
  • 50. Paul Marx | Principles of survey research Likert Scale: Examples 50
  • 51. Paul Marx | Principles of survey research Some Commonly Used Scales in Marketing 51 Construct Scale Descriptors Attitude Very bad Bad Neither Bad Nor Good Good Very Good Importance Not at All Important Not Important Neutral Important Very Important Satisfaction Very Dissatisfied (Somewhat) Dissatisfied Neither Dissatisfied Nor Satisfied / Neutral (Somewhat) Satisfied Very Satisfied Purchase Intention Definitely Will Not Buy Probably will Not Buy Might or Might Not Buy Probably Will Buy Definitely Will Buy Purchase Frequency Never Rarely Sometimes Often Very Often Agreement Strongly Disagree Disagree Neither Agree Nor Disagree Agree Strongly Agree
  • 52. Paul Marx | Principles of survey research Itemized Rating Scales: Semantic Differential 52 A rating scale with end point associated with bipolar labels that have semantic meaning. Respondents are to indicate how accurately or inaccurately each term describes the object. This part of the study measures what certain department stores mean to you by having you judge them on a series of descriptive scales bounded at each end by one of two bipolar adjectives. Please mark (X) the blank that best indicates how accurately one or the other adjective describes what the store means to you. Please be sure to mark every scale; do not omit any scale.Semantic Differential Powerful [ ] [ ] [ ] [ ] [X] [ ] [ ] Weak Unreliable [ ] [ ] [ ] [ ] [ ] [X] [ ] Reliable Modern [ ] [ ] [ ] [ ] [ ] [ ] [X] Old fashioned Cold [ ] [ ] [ ] [ ] [ ] [X] [ ] Warm Careful [ ] [X] [ ] [ ] [ ] [ ] [ ] Careless NOTE: The negative adjective sometimes appears at the left side of the scale and sometimes at the right. This controls the tendency of some respondents, particularly those with very positive or very negative attitudes, to mark the right- or left-hand sides without reading the labels. 7-Eleven is:
  • 53. Paul Marx | Principles of survey research Semantic Differential Scale: Example 53 Rugged [ ] [ ] [ ] [ ] [ ] [ ] [ ] Delicate Excitable [ ] [ ] [ ] [ ] [ ] [ ] [ ] Calm Uncomfortable [ ] [ ] [ ] [ ] [ ] [ ] [ ] Comfortable Dominating [ ] [ ] [ ] [ ] [ ] [ ] [ ] Submissive Thrifty [ ] [ ] [ ] [ ] [ ] [ ] [ ] Indulgent Pleasant [ ] [ ] [ ] [ ] [ ] [ ] [ ] Unpleasant Contemporary [ ] [ ] [ ] [ ] [ ] [ ] [ ] Non-contemporary Organized [ ] [ ] [ ] [ ] [ ] [ ] [ ] Unorganized Rational [ ] [ ] [ ] [ ] [ ] [ ] [ ] Emotional Youthful [ ] [ ] [ ] [ ] [ ] [ ] [ ] Mature Formal [ ] [ ] [ ] [ ] [ ] [ ] [ ] Informal Orthodox [ ] [ ] [ ] [ ] [ ] [ ] [ ] Liberal Complex [ ] [ ] [ ] [ ] [ ] [ ] [ ] Simple Colorless [ ] [ ] [ ] [ ] [ ] [ ] [ ] Colorful Modest [ ] [ ] [ ] [ ] [ ] [ ] [ ] Vain Measuring Self-Concepts, Person Concepts, and Product Concepts Rating profiles of different objects / respondents / segments. Each point corresponds to a mean or median of the respective scale.
  • 54. Paul Marx | Principles of survey research Semantic Differential Scale: Example 54 Source: http://www.provisor.com.ua/archive/2000/N16/gromovik.php Cheap [ ] [ ] [ ] [ ] [ ] [ ] [ ] Expensive Has natural ingredients [ ] [ ] [ ] [ ] [ ] [ ] [ ] Has no natural ingredients Attractive [ ] [ ] [ ] [ ] [ ] [ ] [ ] Unattractive Easily available [ ] [ ] [ ] [ ] [ ] [ ] [ ] Hard to get Smells good [ ] [ ] [ ] [ ] [ ] [ ] [ ] Smells bad Has conditioner [ ] [ ] [ ] [ ] [ ] [ ] [ ] Has no conditioner Well-known brand [ ] [ ] [ ] [ ] [ ] [ ] [ ] Unknown brand Suitable for frequent usage [ ] [ ] [ ] [ ] [ ] [ ] [ ] Unsuitable for frequent usage Miraculous effect of cleanliness and shine [ ] [ ] [ ] [ ] [ ] [ ] [ ] Lack of cleanliness effect Easy-to-use [ ] [ ] [ ] [ ] [ ] [ ] [ ] Inconvenient to use Ideal shampoo Elseve Herbal Magic Semantic profiles of shampoo brands “Herbal Magic” and “Elseve” in comparison with an ideal shampoo from consumers’ point of view
  • 55. Paul Marx | Principles of survey research Semantic Differential Scale: Example 55
  • 56. Paul Marx | Principles of survey research Itemized Rating Scales: Stapel Scale 56 An unipolar rating scale with 10 categories numbered from -5 to +5 without neutral point (zero). Used as an alternative to semantic differential, especially when a meaningful pair of opposed adjectives is difficult to construct. Please evaluate how accurately each word or phrase describes each of department stores. Select a plus number for phrases you think describe the store accurately. The more accurately you think the phrase describes the store, the larger the plus number you should choose. You should select a minus number for phrases you think do not describe it accurately. The less accurately you think the phrase describes the store, the larger the minus number you should choose. You can select any number, from +5 for phrases you think are very accurate, to -5 for phrases you think are very inaccurate. Stapel Scale 7-Eleven: +5 +4 +3 +2 +1 -1 -2 -3 -4 -5 High Quality +5 +4 +3 +2 +1 -1 -2 -3 -4 -5 Poor service х х
  • 57. Paul Marx | Principles of survey research Basic Non-Comparative Scales Scale Basic Characteristics Examples Advantages Disadvantages Continuous Rating Scale Place a mark on a continuous line Reaction to TV commercials Easy to construct Scoring can be cumbersome, unless computerized Itemized Scales Likert 
Scale Degrees of agreements on a 1 (strongly disagree) to 5 (strongly agree) scale Measurement of attitudes Easy to construct, administer and understand More time-consuming Semantic Differential Seven-point scale with bipolar labels Brand, product, and company images Versatile Controversy as to whether the data are interval Stapel Scale Unipolar ten-point scale, -5 to +5, without a neutral point (zero) Measurement of attitudes and images Easy to construct, administer over telephone Confusing an difficult to apply 57
  • 58. Paul Marx | Principles of survey research Non-comparative Itemized Rating Scale Decisions 58 Number of categories Although there is no single, optimal number, traditional guidelines suggest that there should be between five and nine categories. Balanced vs. unbalanced In general, the scale should be balanced to obtain objective data. Odd/even no. of categories If a neutral or indifferent scale response is possible for at least some respondents, an odd number of categories should be used. Forced vs. non-forced In situations where the respondents are expected to have no opinion, the accuracy of the data may be improved by a non- forced scale. Verbal description An argument can be made for labeling all or many scale categories. The category descriptions should be located as close to the response categories as possible.
  • 59. Paul Marx | Principles of survey research Number of categories Although there is no single, optimal number, traditional guidelines suggest that there should be between five and nine categories. Number of Scale Categories 59 + The greater the number of scale categories, the finer the discrimination among stimulus objects that is possible - Most respondents cannot handle more than a few categories Involvement and knowledge • more categories when respondents are interested in the scaling task or are knowledgeable about the objects Nature of the objects • do objects lend themselves to fine discrimination? Mode of data collection • less categories in telephone interviews Data analysis • less categories for aggregation, broad generalizations or group comp. • more categories for sophisticated statistical analysis, esp. correlation based ones
  • 60. Paul Marx | Principles of survey research Balanced vs. unbalanced In general, the scale should be balanced to obtain objective data. Balanced vs. Unbalanced Scales 60 Extremely good Very good Neither good nor bad Very bad Extremely bad Balanced Scale Extremely good Very good Good Somewhat good Bad Very bad Unbalanced Scale
  • 61. Paul Marx | Principles of survey research Odd/even no. of categories If a neutral or indifferent scale response is possible for at least some respondents, an odd number of categories should be used. Odd or Even Number of Categories 61 - The middle option of an attitudinal scale attracts a substantial # of respondents who might be unsure about their opinion or reluctant to disclose it - This can distort measures of central tendency and variance - Do we want/need “contrast” in controversial attitudes?
  • 62. Paul Marx | Principles of survey research Forced vs. non-forced In situations where the respondents are expected to have no opinion, the accuracy of the data may be improved by a non- forced scale. Forced vs. Non-Forced 62 - Questions that exclude the "don't know" option tend to produce a greater volume of accurate data - Are respondents unwilling to answer vs. don’t have an opinion? - Use "don't know" or better “not applicable” option for factual questions, but not for attitude questions - Use branching to ensue concept familiarity on the respondent’s side
  • 63. Paul Marx | Principles of survey research Verbal description An argument can be made for labeling all or many scale categories. The category descriptions should be located as close to the response categories as possible. Verbal Description 63 - Providing a verbal description for each category may not improve the accuracy or reliability of the data vs. scale ambiguity - Peaked vs. flat response distributions completely disagree completely agree disagree agree
  • 64. Paul Marx | Principles of survey research 2.Survey: Measurement and Scaling 2.1 Introduction 2.2 Comparative Scales 2.3 Non-Comparative Scales 2.4 Multi-item Scales 2.5 Reliability and Validity 64
  • 65. Paul Marx | Principles of survey research Latent Constructs 65 Please indicate how satisfied you were with your purchase of _____ by checking the space that best gives your answer. satisfied [ ] [ ] [ ] [ ] [ ] [ ] [ ] dissatisfied pleased [ ] [ ] [ ] [ ] [ ] [ ] [ ] displeased favorable [ ] [ ] [ ] [ ] [ ] [ ] [ ] unfavorable pleasant [ ] [ ] [ ] [ ] [ ] [ ] [ ] unpleasant I like it very much [ ] [ ] [ ] [ ] [ ] [ ] [ ] I didn't like it at all contented [ ] [ ] [ ] [ ] [ ] [ ] [ ] frustrated delighted [ ] [ ] [ ] [ ] [ ] [ ] [ ] terrible α=0,84 A Latent Construct is a variable that cannot be observed or measured directly but can be inferred from other observable measurable variables. Thus, the researcher must capture the variable through questions representing the presence/level of the variable in question.
  • 66. Paul Marx | Principles of survey research Latent Constructs & Multi-Item Scales Construct Dimensions Factors Items Scale customer satisfaction satisfaction with product satisfaction with service friendliness expertise liability the salesperson was appealing the salesperson smiled to me the salesperson was courteous strongly agree largely agree largely disagree strongly disagree
  • 67. Paul Marx | Principles of survey research Advantages + allow to assess abstract concepts + make it easier to understand the data and phenomenon + reduce dimensionality of data through aggregating a large number of observable variables in a model to represent an underlying concept + link observable (“sub-symbolic”) data of the real world to symbolic data in the modeled world Latent Constructs & Multi-Item Scales 67
  • 68. Paul Marx | Principles of survey research Multi-Item Scales: Make or Steal Generate an initial pool of items: theory, secondary data, and qualitative research Select a reduced set of items based on qualitative judgement Collect data from a large pretest sample Perform statistical analysis Develop a purified scale Collect more date form a different sample Evaluate scale reliability, validity, and generalizability Prepare the final scale Develop a theory Brunner, Gordon C. II (2012), “Marketing Scales Handbook: A Compilation of Multi-Item Measures for Consumer Behavior & Advertising Research”, Vol. 6, available as PDF at www.marketingscales.com/research Journal of the Academy of Marketing Science (JAMS) Journal of Advertising (JA) Journal of Consumer Research (JCR) Journal of Marketing (JM) Journal of Marketing Research (JMR) Journal of Retailing (JR)
  • 69. Paul Marx | Principles of survey research Secure Customer Index™ Assessing Consumer Loyalty and Retention 69 Secure Customer Very satisfied Definitely would recommend Definitely will use again D. Randall Brandt (1996), “Secure Customer Index”, Maritz Research Overall Satisfaction 4 = very satisfied 3 = somewhat satisfied 2 = somewhat dissatisfied 1 = very dissatisfied Willingness to Recommend 5 = definitely would recommend 4 = probably would recommend 3 = might or might not recommend 2= probably would not recommend 1= definitely would not recommend Likelihood to Use Again 5 = definitely will use again 4 = probably will use again 3= might or might not use again 2= probably will not use again 1 = definitely will not use again Secure Customers % very satisfied/definitely would repeat/definitely would recommend Favorable Customers % giving at least "second best" response on all three measures of satisfaction and loyalty Vulnerable Customers % somewhat satisfied/might or might not repeat/might or might not recommend At Risk Customers % somewhat satisfied or dissatisfied/probably or definitely would not repeat/probably or definitely would not recommend
  • 70. Paul Marx | Principles of survey research Extended Secure Customer Index™ Burke Inc. 70 Overall Satisfaction What is your overall level of satisfaction with (BRAND/CO)? Willingness to Recommend If you were asked to recommend a (INDUSTRY) how likely would you be to recommend (BRAND/CO.)? Likelihood to Repurchase How likely are you to continue using (BRAND/CO.)? Earned Loyalty (BRAND/CO.) has earned my loyalty Preferred Company I prefer (BRAND/CO.) to all other providers Burke Inc. http://www.burke.com/library/whitepapers/sci_white_paper_low_res_pages.pdf Loyalty Index Share of Wallet (0% - 100%) Period 1 Period 2
  • 71. Paul Marx | Principles of survey research 2.Survey: Measurement and Scaling 2.1 Introduction 2.2 Comparative Scales 2.3 Non-Comparative Scales 2.4 Multi-item Scales 2.5 Reliability and Validity 71
  • 72. Paul Marx | Principles of survey research Multi-Item Scales: Measurement Accuracy 72 The True Score Model ХO = ХT + ХS + ХR where ХO = the observed score of measurement ХT = the true score of characteristic ХS = systematic error ХR = random error
  • 73. Paul Marx | Principles of survey research Reliability & Validity 73 Reliability • extent to which a scale produces consistent results in repeated measurements • absence of random error (ХR ⟶0 |⇒ ХO ⟶ ХT + ХS) • reliability of a multi-item scale is denoted as Cronbach’s alpha (0 ≥ α ≥ 1) • values of α ≥ 0,7 are considered satisfactory ХO = ХT + ХS + ХR Validity • extent to which differences in observed scale scores reflect true differences among objects on the characteristic being measured • no measurement error (ХS ⟶ 0, ХR ⟶ 0 |⇒ ХO ⟶ХT) Reliable Not Valid Low Validity Low Reliability Not Reliable Not Valid Both Reliable and Valid * α can take on also negative values, however, they cannot be interpreted
  • 74. Paul Marx | Principles of survey research Reliable Not Valid Low Validity Low Reliability Not Reliable Not Valid Both Reliable and Valid Relationship between Reliability & Validity 74 ХO = ХT + ХS + ХR • validity implies reliability (ХO = ХT |⇒ ХS = 0, ХR = 0) • unreliability implies invalidity (ХR ≠ 0 |⇒ ХO = ХT + ХR ≠ ХT) • reliability does not imply validity (ХR = 0, ХS ≠ 0 |⇒ ХO = ХT + ХS ≠ ХT) • reliability is a necessary, but not sufficient, condition of validity
  • 75. Paul Marx | Principles of survey research 75 “The purpose of a scale is to allow us to represent respondents with the highest accuracy and reliability. We can’t have one without the other and still believe in our data.” Bart Gamble vice president client services, Burke, Inc. 2000-2003
  • 76. Paul Marx | Principles of survey research Net Promoter Score® competitive growth rates? 76 0 1 2 3 4 5 6 7 8 9 10 Reichheld, Fred (2003) "One Number You Need to Grow", Harvard Business Review Detractors Passives Promoters Net Promoter Score % Promoters % Detractors= – How likely are you to recommend company/brand/product X to a friend/colleague/relative? Is the scale reliable? Is the scale valid? NPS (-100% – +100%) 5-10% average companies 45% high potentials with open growth opportunity 50-80% market leaders with high growth potential
  • 77. Paul Marx | Principles of survey research Net Promoter Score®: Warning 77 “Though the “would recommend” question is far and away the best single-question predictor of customer behavior across a range of industries, it’s not the best for every industry…So, companies need to do their homework. They need to validate the empirical link between survey answers and subsequent customer behavior for their own business.” Fred Reichheld, 2011 Reichheld, Fred, with Rob Markey (2011). The Ultimate Question 2.0. Boston: Harvard Business Review Press; pp.50-51. ?
  • 78. Paul Marx | Principles of survey research 3.Questionnaire 3.1 Asking Questions 3.2 Overcoming Inability to Answer 3.3 Overcoming Unwillingness to Answer 3.4 Increasing Willingness of Respondents 3.5 Determining the Order of Questions 3.6 What’s Next? 78
  • 79. Paul Marx | Principles of survey research Questionnaire 79 A Questionnaire – is a formalized set of questions for obtaining information from respondents. Objectives of a Questionnaire: • translate the information need into a set of specific questions that the respondents can and will answer • uplift, motivate, and encourage respondents to become involved in the interview, to cooperate, and to complete the interview • minimize response error Questionnaire
  • 80. Paul Marx | Principles of survey research Questioning Tactics 80 • Choose an answer form a list of answer choices • +: easy to analyze, do not task respondents’ memory and make less stress • –: automatic and snap answers • Response options are not set • +: unlimited range of possible responses, “tests” respondent’s memory • –: complexity of coding and analysis, respondents may refuse to answer Closed-ended Open ended • Do you drink alcohol every day? • What drinks do you prefer for dinner? Direct Indirect
  • 81. Paul Marx | Principles of survey research Bias in Formulation 81 Q: Do you approve smoking whilst praying? A: No Q: Do you approve praying whilst smoking? A: Yes 0 15 30 45 60 Yes No Uncertain Do you actually believe in the big love? Do you believe in the big love? Noelle-Neumann and Petersen (1998), p. 192 n = 2100, p <.05
  • 82. Paul Marx | Principles of survey research Issues to Consider in Questionnaire Design 82 • Is the question necessary? • Are several questions needed instead of one? • Is the respondent informed? • Can the respondent remember? • Effort required of the respondents • Sensitivity of question • Legitimate purpose • Cultural issues • Ease of completion • Comprehensiveness • Bias in formulation
  • 83. Paul Marx | Principles of survey research 3.Questionnaire 3.1 Asking Questions 3.2 Overcoming Inability to Answer 3.3 Overcoming Unwillingness to Answer 3.4 Increasing Willingness of Respondents 3.5 Determining the Order of Questions 3.6 What’s Next? 83
  • 84. Paul Marx | Principles of survey research Asking Questions 84 “It is not every question that deserves an answer” Publius Syrus roman, 1st century B.C. • Avoid ambiguity, confusion, and vagueness • Avoid jargon, slang, abbreviations • Avoid double-barreled questions • Avoid leading • Avoid implicit assumptions • Avoid implicit alternatives • Avoid treating respondent’s belief about a hypothesis as a test of the hypothesis • Avoid generalizations and estimates
  • 85. Paul Marx | Principles of survey research Avoid Ambiguity, Confusion and Vagueness 85 Define the issue in terms of who, what, when, where, why, and way (the six Ws). Who, what, when, and where are particularly important. • Example: Which brand of shampoo do you use? • Ask instead: Which brand or brands of shampoo have you personally used at home during the last month? In case of more than one brand, please list all the brands that apply.
  • 86. Paul Marx | Principles of survey research Avoid Ambiguity, Confusion and Vagueness 86 The W’s Defining the Question Who The Respondent It is not clear whether this question relates to the individual respondent or, e.g., the respondent’s total household What The Brand of Shampoo It is unclear how the respondent is to answer this question if more than one brand is used When Unclear The time frame is not specified in this question. The respondent could interpret it as meaning the shampoo used this morning, this, week, or over the past year. Where Unclear At home, at gym, on the road? Which brand of shampoo do you use?
  • 87. Paul Marx | Principles of survey research Avoid Ambiguity, Confusion and Vagueness 87 • Example: What brand of computer do you own? ☐ Windows ☐ Mac OS • Ask instead: Do you own a Windows PC? (☐ Yes ☐ No) Do you own an Apple computer? (☐ Yes ☐ No) • Even better: What brand of computer do you own? ☐ Do not own a computer ☐ Windows ☐ Mac OS ☐ Other • Example: Are you satisfied with your current auto insurance? ☐ Yes ☐ No • Ask instead: Are you satisfied with your current auto insurance? ☐ Yes ☐ No ☐ Don’t have auto insurance • Even better (branch questions): 1. Do you currently have a life insurance policy? (☐ Yes ☐ No). If no, go to question 3. 2. Are you satisfied with your current auto insurance? (☐ Yes ☐ No)
  • 88. Paul Marx | Principles of survey research Avoid Ambiguity, Confusion and Vagueness 88 Example: In a typical month, how often do you shop in department stores? ☐ Never ☐ Occasionally ☐ Sometimes ☐ Often ☐ Regularly • Ask instead: In a typical month, how often do you shop in department stores? ☐ Less than once ☐ 1 or 2 times ☐ 3 or 4 times ☐ More than 4 times Whenever using words “will”, “could”, “might”, or “may” in a question, you might suspect that the question asks a time-related question.
  • 89. Paul Marx | Principles of survey research Avoid Jargon, Slang, Abbreviations 89 Use ordinary words • Example: Do you think the distribution of soft drinks is adequate? • Ask instead: Do you think soft drinks are readily available when you want to buy them? • Example: What was your AGI last year? $ _______
  • 90. Paul Marx | Principles of survey research Avoid Double-Barreled Questions 90 Are several questions needed instead of one? • Example: Do you think Coca-Cola is a tasty and refreshing soft drink? • Ask instead: 1. Do you think Coca-Cola is a tasty soft drink? 2. Do you think Coca-Cola is a refreshing soft drink?
  • 91. Paul Marx | Principles of survey research Avoid Leading 91 If you want a certain answer - why ask? • Example: Do you help the environment by using canvas shopping bags? • Ask instead: Do you use canvas shopping bags?
  • 92. Paul Marx | Principles of survey research Avoid Implicit Assumptions 92 The answer should not depend on upon implicit assumptions about what will happen as a consequence. • Example: Are you in favor of a balanced budget? • Ask instead: Are you in favor of a balanced budget if it would result in an increase in the personal income tax?
  • 93. Paul Marx | Principles of survey research http://www.kostenlose3dmodelle.com/ mensch-argere-dich-nicht-lightwavedice -studio-3ds-obj-lwo/ Avoid implicit alternatives 93 An alternative that is not explicitly expressed in the options is an implicit alternative. • Example: Do you like to fly when traveling short distances? • Ask instead: Do you like to fly when traveling short distances, or would you rather drive?
  • 94. Paul Marx | Principles of survey research Avoid Treating Beliefs as Real Facts 94 Beliefs are only a biased representation of reality • Example: Do you think more educated people wear fur clothing? • Ask instead: 1. What is your education level? 2. Do you wear fur clothing?
  • 95. Paul Marx | Principles of survey research Avoid Generalizations and Estimates 95 Don’t task respondents’ memory and math skills • Example: What is the annual per capita expenditure on groceries in your household? • Ask instead: 1. What is the monthly (or weekly) expenditure on groceries in your household? 2. How many members are there in your household?
  • 96. Paul Marx | Principles of survey research 3.Questionnaire 3.1 Asking Questions 3.2 Overcoming Inability to Answer 3.3 Overcoming Unwillingness to Answer 3.4 Increasing Willingness of Respondents 3.5 Determining the Order of Questions 3.6 What’s Next? 96
  • 97. Paul Marx | Principles of survey research Overcoming Inability to Answer 97 Is the Respondent Informed? Can the Respondent Remember? Can the Respondent Articulate?
  • 98. Paul Marx | Principles of survey research Overcoming Inability to Answer 98 Is the Respondent Informed? Respondents will often answer questions even though they are not informed • Example: Please indicate how strongly you agree or disagree with the following statement: “The National Bureau of Consumer Complaints provides an effective means for consumers who have purchased a defective product to obtain relief” 51.9% of the lawyers and 75% of the public expressed their opinion, although there is no such entity as the NBCC • Use Filter Questions: e.g. ask about familiarity and/or frequency of patronage in a study of 10 department stores • Use “don’t know” Option
  • 99. Paul Marx | Principles of survey research Can the Respondent Remember? Overcoming Inability to Answer 99 The inability to remember leads to errors of omission, telescoping, and creation • Example: How many liters of soft drinks did you consume during the last four weeks? • Ask instead: How often do you consume soft drinks in a typical week? ☐ Less than once a week ☐ 1 to 3 times per week ☐ 4 or 6 times per week ☐ 7 or more times per week • Use aided recall approach (where appropriate) “What brands of soft drinks do you remember being advertised last night on TV?” vs “Which of these brands were advertised last night on TV?”
  • 100. Paul Marx | Principles of survey research Can the Respondent Articulate? Overcoming Inability to Answer 100 If unable to articulate their responses, respondents are likely to ignore the question and quit the survey • Example: If asked to describe the atmosphere of the department store they would prefer to patronage, most respondents may be unable to phrase their answers. • Provide aids, e.g., pictures, maps, descriptions If the respondents are given alternative descriptions of store atmosphere, they will be able to indicate the one they like the best.
  • 101. Paul Marx | Principles of survey research 3.Questionnaire 3.1 Asking Questions 3.2 Overcoming Inability to Answer 3.3 Overcoming Unwillingness to Answer 3.4 Increasing Willingness of Respondents 3.5 Determining the Order of Questions 3.6 What’s Next? 101
  • 102. Paul Marx | Principles of survey research Overcoming Unwillingness to Answer 102 Most respondents are unwilling to • devote a lot of effort to provide information • respond to questions that they consider to be inappropriate for the given context • divulge information they do not see as serving a legitimate purpose • disclose sensitive information
  • 103. Paul Marx | Principles of survey research Overcoming Unwillingness to Answer 103 Minimize the effort required of respondents • Example: Please list all the departments from which you purchased merchandise on your most recent shopping to a department store. • Ask instead: In the list that follows, please check all the departments from which you purchased merchandise on your most recent shopping to a department store. ☐ Women’s dresses ☐ Men’s apparel ☐ Children’s apparel ☐ Cosmetics ……. ☐ Jewelry ☐ Other (please specify) _________________
  • 104. Paul Marx | Principles of survey research Overcoming Unwillingness to Answer 104104 Some questions may seem appropriate in certain contexts but not in others • Example: Questions about personal hygiene habits may be appropriate when asked in a survey sponsored by the Medical Association, but not in one sponsored by a fast- food restaurant. • Provide context by making a statement: “As a fast-food restaurant, we are very concerned about providing a clean and hygienic environment for our customers. Therefore, we would like to ask you some questions related to personal hygiene.”
  • 105. Paul Marx | Principles of survey research Overcoming Unwillingness to Answer 105105105 Explain why the data is needed • Example: Why should a firm marketing cereals want to know the respondents’ age, income, and occupation? • Legitimate the information request: “To determine how the consumption of cereals vary among people of different ages, incomes, and occupation, we need information on ...”
  • 106. Paul Marx | Principles of survey research 3.Questionnaire 3.1 Asking Questions 3.2 Overcoming Inability to Answer 3.3 Overcoming Unwillingness to Answer 3.4 Increasing Willingness of Respondents 3.5 Determining the Order of Questions 3.6 What’s Next? 106
  • 107. Paul Marx | Principles of survey research • Place sensitive topics at the end of the questionnaire • Preface questions with a statement that the behavior is of interest in common • Ask the question using third-person technique: phrase the question as if it referred to other people • Hide the question in a group of other questions • Provide response categories rather than asking for specific figures Increasing Willingness of Respondents 107 Sensitive Topics: - money - family life - political and religious beliefs - involvement in accidents or crimes - …
  • 108. Paul Marx | Principles of survey research 3.Questionnaire 3.1 Asking Questions 3.2 Overcoming Inability to Answer 3.3 Overcoming Unwillingness to Answer 3.4 Increasing Willingness of Respondents 3.5 Determining the Order of Questions 3.6 What’s Next? 108
  • 109. Paul Marx | Principles of survey research Determining the Order of Questions 109 • Opening Questions The opening questions should be interesting, simple, and non-threatening. • Type of Information As a general guideline, basic information should be obtained first, followed by classification, and, finally, identification information. • Difficult Questions Difficult questions or questions which are sensitive, embarrassing, complex, or dull, should be placed late in the sequence.
  • 110. Paul Marx | Principles of survey research Determining the Order of Questions 110 • Effect on Subsequent Questions (funneling) General questions should precede the specific questions 1. What considerations are important to you in selecting a department store? 2. In selecting a department store, how important is convenience of location? • Logical Order / Branching Questions The question being branched should be placed as close as possible to the question causing the branching. The branching questions should be ordered so that the respondents cannot anticipate what additional information will be required.
  • 111. Paul Marx | Principles of survey research Example: Flowchart of a Questionnaire 111 Introduction Ownership of Store, Bank, and/or other Charge Cards Purchased products in a specific department store during the last two months How payment was made? Ever purchased products in a department store? Store Charge Card Bank Charge Card Other Charge Card Intention to use Store, Bank, or Other Charge Cards yes no yes no Credit Cash Other
  • 112. Paul Marx | Principles of survey research 3.Questionnaire 3.1 Asking Questions 3.2 Overcoming Inability to Answer 3.3 Overcoming Unwillingness to Answer 3.4 Increasing Willingness of Respondents 3.5 Determining the Order of Questions 3.6 What’s Next? 112
  • 113. Paul Marx | Principles of survey research What’s Next? 113113 Introduction • Catch the respondents’ interest • Explain the reasons & objectives • Ask for their help • Tell that their support is valuable • Tell how much time it will last • Emphasize the anonymity • Incentivize (non-monetary incentives)
  • 114. Paul Marx | Principles of survey research What’s Next? 114114 Pretest! Pretest! Pretest!!! • question content • wording • sequence • form and layout • question difficulty • instructions… • analysis procedures
  • 115. Paul Marx | Principles of survey research Recap 115 1. Develop a flow chart of the information required based on the marketing research problem • Once the entire sequence is laid out, the interrelationships should become clear • Match up the actual data you would expect to collect from the questionnaire against the information needs listed in the flow chart • Be specific in the objective for each area of information and data. You should be able to write an objective for each area so specifically that it guides your construction of the questions. 2. At this stage, put on your “critic’s” hat on and go back over the flowchart and ask • Do I need to know it and know exactly what I am going to do with it? or • It would be nice to know it but I do not have to have it
  • 116. Paul Marx | Principles of survey research 4.Sampling 4.1 Non-probability Sampling 4.2 Probability Sampling 4.3 Choosing Non-probability vs. Probability Sampling 4.4 Sample Size 116
  • 117. Paul Marx | Principles of survey research 117 The world’s most famous newspaper error President Harry Truman against Thomas Dewey Chicago Tribute prepared an incorrect headline without first getting accurate information Reason? • bias • inaccurate opinion polls
  • 118. Paul Marx | Principles of survey research Sampling 118 Most research cannot test everyone. Instead a sample of the whole population is selected and tested. If this is done well, the results can be applied to the whole population. This selection and testing of a sample is called sampling. If a sample is poorly chosen, all the data may be useless. Population the group of people we wish to understand. Populations are often segmented by demographic or psychographic features (age, gender, interests, lifestyles, etc.) Sample a subset of population that represents the whole group
  • 119. Paul Marx | Principles of survey research Sampling 119 Population the group of people we wish to understand. Populations are often segmented by demographic or psychographic features (age, gender, interests, lifestyles, etc.) Sample a subset of population that represents the whole groupRespondents people who answer Most research cannot test everyone. Instead a sample of the whole population is selected and tested. If this is done well, the results can be applied to the whole population. This selection and testing of a sample is called sampling. If a sample is poorly chosen, all the data may be useless.
  • 120. Paul Marx | Principles of survey research Sampling: Two General Methods 120 Image By Sergio Valle Duarte (Own work) [CC BY 3.0], via Wikimedia Commons
  • 121. Paul Marx | Principles of survey research 121 Sampling Techniques Convenience Sampling Judgmental Sampling Quota Sampling Snowball Sampling Non-probability Probability Simple Random Sampling Systematic Sampling Stratified Sampling Cluster Sampling Other Sampling Techniques Proportionate Disproportionate
  • 122. Paul Marx | Principles of survey research 4.Sampling 4.1 Non-probability Sampling 4.2 Probability Sampling 4.3 Choosing Non-probability vs. Probability Sampling 4.4 Sample Size 122
  • 123. Paul Marx | Principles of survey research 123 Sampling Techniques Convenience Sampling Judgmental Sampling Quota Sampling Snowball Sampling Non-probability Probability Simple Random Sampling Systematic Sampling Stratified Sampling Cluster Sampling Other Sampling Techniques Proportionate Disproportionate
  • 124. Paul Marx | Principles of survey research Convenience Sampling 124 Convenience sampling attempts to obtain a sample of convenient respondents. Often, respondents are selected because they happen to be in the right place at right time. • students or members of social organizations • mall intercept interviews without qualifying the respondents • “people on the street” interviews • tear-out questionnaires in magazines
  • 125. Paul Marx | Principles of survey research Judgmental Sampling 125 Judgmental sampling a form of convenience sampling in which the population elements are selected based on the judgement of the researcher • test markets • purchase engineers selected in industrial marketing research • mothers as diaper “users”
  • 126. Paul Marx | Principles of survey research Quota Sampling 126 Quota sampling techniques develop control categories, or quotas, of population elements (e.g., sex, age, race, income, company size, turnover, etc.) so that the proportion of the elements possessing these characteristics in the sample reflects their distribution in the population. The elements themselves are selected based on convenience or judgment. The only requirement, however, is that the elements selected fit the control characteristics (quota). Control Characteristic Population Composition Sample Composition Percentage Percentage Number Sex Male
 Female 
 48 52 ------- 100 48
 52
 ------- 100 
 480
 520
 ------- 1000 Age
 18-30 31-45 45-60
 Over 60 27 39 16 18 ------- 100 27 39 16 18 ------- 100 270 390 160 180 ------- 1000
  • 127. Paul Marx | Principles of survey research Snowball Sampling 127127 An initial group of respondents is selected (usually) at random. • After being interviewed, these respondents are asked to identify others who belong to the target population of interest. • Subsequent respondents are selected based on the referrals. Good for locating the desired characteristic in the population: • reaching hard-to-reach respondents (e.g., government services, “food stamps”, drug users) • estimating characteristics that are rare in the population • identifying buyer-seller pairs in industrial research
  • 128. Paul Marx | Principles of survey research 4.Sampling 4.1 Non-probability Sampling 4.2 Probability Sampling 4.3 Choosing Non-probability vs. Probability Sampling 4.4 Sample Size 128
  • 129. Paul Marx | Principles of survey research 129 Sampling Techniques Convenience Sampling Judgmental Sampling Quota Sampling Snowball Sampling Non-probability Probability Simple Random Sampling Systematic Sampling Stratified Sampling Cluster Sampling Other Sampling Techniques Proportionate Disproportionate
  • 130. Paul Marx | Principles of survey research Simple Random Sampling & Systematic Sampling 130 Systematic Sampling • The sample is chosen by selecting a random starting point and then picking every 𝑖-th element in succession from the sampling frame • The sampling interval, 𝑖, is determined by dividing the population size 𝑁 by the sample size 𝑛, i.e., 𝑖 = 𝑁/𝑛 Simple Random Sampling • Each element in the population has a known and equal probability of selection • Each possible sample of a given size (𝑛) has a known probability of being the sample actually selected • This implies that every element is selected independently of every other element. start here select randomly i i i take every i-th element
  • 131. Paul Marx | Principles of survey research Stratified Sampling 131131 Stratified sampling is obtained by separating the population into non-overlapping groups called strata and then obtaining a proportional simple random sample from each group. The individuals within each group should be similar in some way. Good for: • highlighting a specific subgroup within the population • observing existing relationships between two or more subgroups • representative sampling of even the smallest and most inaccessible subgroups in the population • a higher statistical precision Stratum A B C Population Size 100 200 300 Sampling Fraction 1/2 1/2 1/2 Final Sample Size 50 100 150 Stratum A B C Population Size 100 200 300 Sampling Fraction 1/5 1/2 1/3 Final Sample Size 20 100 100 Proportionate Disproportionate
  • 132. Paul Marx | Principles of survey research Cluster Sampling 132132 Cluster sampling the target population is first divided into mutually exclusive and collectively exhaustive subpopulations, or clusters. Than a random sample of clusters is selected, based on SRS. Good for: • covering large geographic areas • reducing survey costs • when constructing a complete list of population elements is difficult • when the population concentrated in natural clusters (e.g., blocks, cities, schools, hospitals, boxes, etc.) For each cluster, either all the elements are included in the sample (one-stage) or a sample of elements is drawn probabilistically (two-sage).
  • 133. Paul Marx | Principles of survey research 4.Sampling 4.1 Non-probability Sampling 4.2 Probability Sampling 4.3 Choosing Non-probability vs. Probability Sampling 4.4 Sample Size 133
  • 134. Paul Marx | Principles of survey research Strengths and Weaknesses of Basic Sampling Techniques 134 Technique Strengths Weaknesses Non-probability Sampling Convenience sampling Least expensive, least time consuming, most convenient Selection bias, sample not representative, not recommended for descriptive or causal research Judgmental sampling Low cost, convenient, not time consuming Does not allow generalization, subjective Quota sampling Sample can be controlled for certain characteristics Selection bias, no assurance of representativeness Snowball sampling Can estimate rare characteristics Time consuming in the field research Probability Sampling Simple random sampling (SRS) Easily understood, results projectable Difficult to construct sampling frame, expensive, lower precision, no assurance of representativeness Systematic sampling Can increase representativeness, easier to implement than SRS Can decrease representativeness Stratified sampling Includes all important subpopulations, precision Difficult to select relevant stratification variables, not feasible to stratify on many variables, expensive Cluster sampling Easy to implement, cost effective Imprecise, difficult to compute and interpret results
  • 135. Paul Marx | Principles of survey research 4.Sampling 4.1 Non-probability Sampling 4.2 Probability Sampling 4.3 Choosing Non-probability vs. Probability Sampling 4.4 Sample Size 135
  • 136. Paul Marx | Principles of survey research Determining the Sample Size 136 The sample size does not depend on the size of the population being studied, but rather it depends on qualitative factors of the research. • desired precision of estimates • knowledge of population parameters • number of variables • nature of the analysis • importance of the decision • incidence and completion rates • resource constraints
  • 137. Paul Marx | Principles of survey research Sample Sizes Used in Marketing Research Studies 137 Type of Study Minimum Size Typical Size Problem identification research (e.g., market potential) 500 1,000 - 2,000 Problem solving research (e.g., pricing) 200 300 - 500 Product tests 200 300 - 500 Test-market studies 200 300 - 500 TV/Radio/Print advertising (per commercial ad tested) 150 200 - 300 Test-market audits 10 stores 10 - 20 stores Focus groups 6 groups 10 - 15 groups
  • 138. Paul Marx | Principles of survey research Margin of Error Approach to Determining Sample Size 138
  • 139. Paul Marx | Principles of survey research Margin of Error Approach to Determining Sample Size 139
  • 140. Paul Marx | Principles of survey research Margin of Error Approach to Determining Sample Size 140
  • 141. Paul Marx | Principles of survey research Margin of Error Approach to Determining Sample Size 141 𝑥 = 𝑥( ± 𝐸 𝑥 = real population parameter 𝑥( = sample statistic 𝐸 = margin of error 𝐸 = 𝑧 𝜎 𝑛
  • 142. Paul Marx | Principles of survey research Margin of Error Approach to Determining Sample Size 142 𝑥 = 𝑥( ± 𝐸 𝑥 = real population parameter 𝑥( = sample statistic 𝐸 = margin of error 𝐸 = 𝑧 𝜎 𝑛 unlikely to be known
  • 143. Paul Marx | Principles of survey research Margin of Error Approach to Determining Sample Size 143 𝑥 = 𝑥( ± 𝐸 𝑥 = real population parameter 𝑥( = sample statistic 𝐸 = margin of error 𝐸 = 𝑧 𝜎 𝑛 unlikely to be known has a maximum at π = .5
  • 144. Paul Marx | Principles of survey research Margin of Error Approach to Determining Sample Size 144 𝑥 = 𝑥( ± 𝐸 𝑥 = real population parameter 𝑥( = sample statistic 𝐸 = margin of error
  • 145. Paul Marx | Principles of survey research Margin of Error Approach to Determining Sample Size 145 𝑥 = 𝑥( ± 𝐸 calculations are approximate values for 95% level of confidence
  • 146. Paul Marx | Principles of survey research Margin of Error Approach to Determining Sample Size 146 𝐸 ≈ 1 𝑛 ⟹ 𝑛 ≈ 1 𝐸 1 calculations are approximate values for 95% level of confidence
  • 147. Paul Marx | Principles of survey research Margin of Error Approach to Determining Sample Size 147 calculations are approximate values for 95% level of confidence
  • 148. Paul Marx | Principles of survey research Margin of Error Approach to Determining Sample Size 148 𝑛2344 = corrected sample size 𝑛 = sample size 𝑁 = size of population calculations are approximate values for 95% level of confidence
  • 149. Paul Marx | Principles of survey research 𝑛2344 = 𝑛 (1 + 𝑛 − 1 / 𝑁) Margin of Error Approach to Determining Sample Size 149 Margin of Error 1% calculations are approximate values for 95% level of confidence
  • 150. Paul Marx | Principles of survey research Margin of Error Approach to Determining Sample Size 150 calculations are approximate values for 95% level of confidence 𝑛2344 = 𝑛 (1 + 𝑛 − 1 / 𝑁) Margin of Error 5%
  • 151. Paul Marx | Principles of survey research Margin of Error Approach to Determining Sample Size 151 calculations are approximate values for 95% level of confidence 𝑛2344 = 𝑛 (1 + 𝑛 − 1 / 𝑁) Margin of Error 10%
  • 152. Paul Marx | Principles of survey research A Note on Confidence Interval 152 Confidence Interval & Level of Confidence A confidence interval estimate is an interval of numbers, along with a measure of the likelihood that the interval contains the unknown parameter. The level of confidence is the expected proportion of intervals that will contain the parameter if a large number of samples is maintained. . Suppose we're wondering what the average number of hours that people at Siemens spend working. We might take a sample of 30 individuals and find a sample mean of 7.5 hours. If we say that we're 95% confident that the real mean is somewhere between 7.2 and 7.8, we're saying that if we were to repeat this with new samples, and gave a margin of ±0.3 hours every time, our interval would contain the actual mean 95% of the time.
  • 153. Paul Marx | Principles of survey research Confidence Interval, Margin of Error, and Sample Size 153 The higher the confidence we need, the wider the confidence interval and the greater the margin of error will be
  • 154. Paul Marx | Principles of survey research Confidence Interval, Margin of Error, and Sample Size 154 The higher the confidence we need, the wider the confidence interval and the greater the margin of error will be smaller margins of error require larger samples higher levels of confidence require larger samples
  • 155. Paul Marx | Principles of survey research 5.Data Analysis: A Concise Overview of Statistical Techniques 5.1 Descriptive Statistics: Some popular Displays of Data 5.1.1 Organizing Qualitative Data 5.1.2 Organizing Quantitative Data 5.1.3 Summarizing Data Numerically 5.1.4 Cross-Tabulations 5.2 Inferential Statistics: Can the Results Be Generalized to Population? 5.2.1 Hypotheses Testing 5.2.2 Strength of a Relationship in Cross-Tabulation 5.2.3 Describing the Relationship between Two (Ratio Scaled) Variables 155
  • 156. Paul Marx | Principles of survey research Types of Statistical Data Analysis 156 Descriptive • Descriptive statistics provide simple summaries about the sample and about the observations that have been made. • Include the numbers, tables, charts, and graphs used to describe, organize, summarize, and present raw data. Inferential • Inferential statistics are techniques that allow making generalizations about a population based on random samples drawn from the population. • Allow assessing causality and quantifying relationships between variables.
  • 157. Paul Marx | Principles of survey research 5.Data Analysis: A Concise Overview of Statistical Techniques 5.1 Descriptive Statistics: Some popular Displays of Data 5.1.1 Organizing Qualitative Data 5.1.2 Organizing Quantitative Data 5.1.3 Summarizing Data Numerically 5.1.4 Cross-Tabulations 5.2 Inferential Statistics: Can the Results Be Generalized to Population? 5.2.1 Hypotheses Testing 5.2.2 Strength of a Relationship in Cross-Tabulation 5.2.3 Describing the Relationship between Two (Ratio Scaled) Variables 157
  • 158. Paul Marx | Principles of survey research 5.Data Analysis: A Concise Overview of Statistical Techniques 5.1 Descriptive Statistics: Some popular Displays of Data 5.1.1 Organizing Qualitative Data 5.1.2 Organizing Quantitative Data 5.1.3 Summarizing Data Numerically 5.1.4 Cross-Tabulations 5.2 Inferential Statistics: Can the Results Be Generalized to Population? 5.2.1 Hypotheses Testing 5.2.2 Strength of a Relationship in Cross-Tabulation 5.2.3 Describing the Relationship between Two (Ratio Scaled) Variables 158
  • 159. Paul Marx | Principles of survey research blue red blue orange blue yellow green red pink blue green blue purple blue blue green yellow pink blue red pink green blue yellow green blue Frequency and Relative Frequency Tables 159 Original Data 𝑟𝑒𝑙𝑎𝑡𝑖𝑣𝑒 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑠𝑢𝑚 𝑜𝑓 𝑎𝑙𝑙 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑖𝑒𝑠 A frequency distribution lists each category of data and the number of occurrences for each category The relative frequency is the proportion (or percent) of observations within a category. A relative frequency distribution lists each category of data together with the relative frequency of each category. favorite color frequency blue 10 red 3 orange 1 yellow 3 green 5 pink 3 purple 1 favorite color relative frequency blue 10/26≈ 0.38 red 3/26≈ 0.12 orange 1/26≈ 0.04 yellow 3/26≈ 0.12 green 5/26≈ 0.19 pink 3/26≈ 0.12 purple 1/26≈ 0.04
  • 160. Paul Marx | Principles of survey research favorite color relative frequency blue 10/26≈ 0.38 red 3/26≈ 0.12 orange 1/26≈ 0.04 yellow 3/26≈ 0.12 green 5/26≈ 0.19 pink 3/26≈ 0.12 purple 1/26≈ 0.04 favorite color frequency blue 10 red 3 orange 1 yellow 3 green 5 pink 3 purple 1 Bar Graphs 160 0 2 4 6 8 10 12 blue red orange yellow green pink purple FREQUENCY favorite color 0% 5% 10% 15% 20% 25% 30% 35% 40% blue red orange yellow green pink purple RELATIVE FREQUENCY favorite color Bar Graphs / Bar Charts 1. heights can be frequency or relative frequency 2. bars must not touch
  • 161. Paul Marx | Principles of survey research Pie Charts 161 blue 37% red 12%orange 4% yellow 12% green 19% pink 12% purple 4% favorite color Pie Charts 1. should always include the relative frequency 2. also should include labels, either directly or as a legend
  • 162. Paul Marx | Principles of survey research 5.Data Analysis: A Concise Overview of Statistical Techniques 5.1 Descriptive Statistics: Some popular Displays of Data 5.1.1 Organizing Qualitative Data 5.1.2 Organizing Quantitative Data 5.1.3 Summarizing Data Numerically 5.1.4 Cross-Tabulations 5.2 Inferential Statistics: Can the Results Be Generalized to Population? 5.2.1 Hypotheses Testing 5.2.2 Strength of a Relationship in Cross-Tabulation 5.2.3 Describing the Relationship between Two (Ratio Scaled) Variables 162
  • 163. Paul Marx | Principles of survey research Exam Score Frequency 50–59 2 60–69 5 70–79 7 80–89 7 90–99 4 children frequency Relative frequency 1 3 3/26≈0.12 2 8 8/26≈0.31 3 10 10/26≈0.38 4 2 2/26≈0.08 5 3 3/26≈0.12 Tables 163 Original Data Original Data Sometimes there are too many values to make a row for each one. In that case, we'll need to group several values together. A discrete variable is a quantitative variable that has either a finite number of possible values or a countable number of values, i.e., 0, 1, 2, 3, ... 2 2 2 4 5 3 3 3 3 2 1 2 3 5 3 4 3 1 2 3 5 3 2 1 3 2 62 87 67 58 95 94 91 69 52 76 82 85 91 60 77 72 83 79 63 88 79 88 70 75 75 lower class limit upper class limit class width= 90-80 = 10
  • 164. Paul Marx | Principles of survey research average commute frequency relative frequency 16–17.9 1 1/15≈0.07 18–19.9 2 2/15≈0.13 20–21.9 1 1/15≈0.07 22–23.9 6 6/15≈0.40 24–25.9 2 2/15≈0.13 26–27.9 1 1/15≈0.07 28–29.9 1 1/15≈0.07 30–31.9 1 1/15≈0.07 children frequency relative frequency 1 3 3/26≈0.12 2 8 8/26≈0.31 3 10 10/26≈0.38 4 2 2/26≈0.08 5 3 3/26≈0.12 Tables 164 0 2 4 6 8 10 12 1 2 3 4 5 FREQUENCY NUMBER OF CHILDREN IN FAMILY 0,00 0,10 0,20 0,30 0,40 0,50 1 2 3 4 5 RELATIVE FREQUENCY NUMBER OF CHILDREN IN FAMILY 0 1 2 3 4 5 6 7 16 18 20 22 24 26 28 30 32 FREQUENCY TIME (MINUTES) Average Daily Commute
  • 165. Paul Marx | Principles of survey research Histogram 1. height of rectangles is the frequency or relative frequency of the class 2. widths of rectangles is the same and they touch each other 0 2 4 6 8 10 12 1 2 3 4 5 FREQUENCY NUMBER OF CHILDREN IN FAMILY 0,00 0,10 0,20 0,30 0,40 0,50 1 2 3 4 5 RELATIVE FREQUENCY NUMBER OF CHILDREN IN FAMILY 0 1 2 3 4 5 6 7 16 18 20 22 24 26 28 30 32 FREQUENCY TIME (MINUTES) Average Daily Commute Histogram 165 average commute frequency relative frequency 16–17.9 1 1/15≈0.07 18–19.9 2 2/15≈0.13 20–21.9 1 1/15≈0.07 22–23.9 6 6/15≈0.40 24–25.9 2 2/15≈0.13 26–27.9 1 1/15≈0.07 28–29.9 1 1/15≈0.07 30–31.9 1 1/15≈0.07
  • 166. Paul Marx | Principles of survey research Frequency Polygon 166 0 1 2 3 4 5 6 7 16 18 20 22 24 26 28 30 32 FREQUENCY TIME (MINUTES) Average Daily Commute A frequency polygon is drawn by plotting a point above each class midpoint and connecting the points with a straight line. (Class midpoints are found by average successive lower class limits.) 16 21 26 31 0 1 2 3 4 5 6 7 16 18 20 22 24 26 28 30 32 FREQUENCY TIME (MINUTES) Average Daily Commute 0 1 2 3 4 5 6 7 15 17 19 21 23 25 27 29 31 33 FREQUENCY TIME (MINUTES) Average Daily Commute average commute frequency relative frequency 16–17.9 1 1/15≈0.07 18–19.9 2 2/15≈0.13 20–21.9 1 1/15≈0.07 22–23.9 6 6/15≈0.40 24–25.9 2 2/15≈0.13 26–27.9 1 1/15≈0.07 28–29.9 1 1/15≈0.07 30–31.9 1 1/15≈0.07
  • 167. Paul Marx | Principles of survey research Cumulative Tables and Ogives 167 average commute relative frequency cumulative relative frequency 16–17.9 1/15≈ 0.07 1/15≈ 0.07 18–19.9 2/15≈ 0.13 2/15≈ 0.20 20–21.9 1/15≈ 0.07 1/15≈ 0.27 22–23.9 6/15≈ 0.40 6/15≈ 0.67 24–25.9 2/15≈ 0.13 2/15≈ 0.80 26–27.9 1/15≈ 0.07 1/15≈ 0.87 28–29.9 1/15≈ 0.07 1/15≈ 0.94 30–31.9 1/15≈ 0.07 1/15≈ 1.00 Cumulative tables show the sum of values up to and including that particular category. An ogive is a graph that represents the cumulative frequency or cumulative relative frequency for the class. average commute frequency cumulative frequency 16–17.9 1 1 18–19.9 2 3 20–21.9 1 4 22–23.9 6 10 24–25.9 2 12 26–27.9 1 13 28–29.9 1 14 30–31.9 1 15 0 0,2 0,4 0,6 0,8 1 1,2 17 19 21 23 25 27 29 31 33 Cumulative Relative Frequency Time (minutes) Average Daily Commute
  • 168. Paul Marx | Principles of survey research 5.Data Analysis: A Concise Overview of Statistical Techniques 5.1 Descriptive Statistics: Some popular Displays of Data 5.1.1 Organizing Qualitative Data 5.1.2 Organizing Quantitative Data 5.1.3 Summarizing Data Numerically 5.1.4 Cross-Tabulations 5.2 Inferential Statistics: Can the Results Be Generalized to Population? 5.2.1 Hypotheses Testing 5.2.2 Strength of a Relationship in Cross-Tabulation 5.2.3 Describing the Relationship between Two (Ratio Scaled) Variables 168
  • 169. Paul Marx | Principles of survey research Measures of Central Tendency 169 Mean 𝑥̅ = 𝑥H + 𝑥1 + ⋯ + 𝑥J 𝑛 = ∑ 𝑥L 𝑛 Sum of each item Sum of average items Mean is the “center of gravity” - like the balance point Advantages: • It works well for lists that are simply combined (added) together. • Easy to calculate: just add and divide. • It’s intuitive — it’s the number “in the middle”, pulled up by large values and brought down by smaller ones. Disadvantages: • The average can be skewed by outliers — it doesn’t deal well with wildly varying samples. • The average of 100, 200 and -300 is 0, which is misleading.
  • 170. Paul Marx | Principles of survey research Measures of Central Tendency 170 Median Median is the item in the middle of a sorted list Advantages: • Handles outliers well — often the most accurate representation of a group • Splits data into two groups, each with the same number of items Disadvantages: • Can be harder to calculate: you need to sort the list first • Not as well-known; when you say “median”, people may think you mean “average” 50% below 50% above 𝑥M = N 𝑥(OPH)/1 1 2 𝑥O/1 + 𝑥O/1PH for odd n for even n
  • 171. Paul Marx | Principles of survey research Measures of Central Tendency 171 Mode count item Mode is the most frequent observation of the variable Advantages: • Works well for exclusive voting situations (this choice or that one; no compromise), i.e., for nominal data • Gives a choice that the most people wanted (whereas the average can give a choice that nobody wanted). • Simple to understand Disadvantages: • Requires more effort to compute (have to tally up the votes) • “Winner takes all” — there’s no middle path The mode of is
  • 172. Paul Marx | Principles of survey research Measures of Central Tendency: Using Mean and Median to Identify the Distribution Shape 172 symmetric mean and median approximately equal left-skewed median mean is “pulled” down right-skewed median mean is “pulled” up
  • 173. Paul Marx | Principles of survey research Measures of Dispersion 173 𝜎1 = ∑ 𝑥L − 𝜇 1 𝑛 Population Variance Sample Variance 𝑠1 = ∑ 𝑥L − 𝑥̅ 1 𝑛 − 1 Variance is the average of the squared distance form the mean Heights of the 2008 US Men's Olympic Basketball Team
  • 174. Paul Marx | Principles of survey research Mean acts as a balancing point. Hence, the average difference from the mean will equal zero. When calculating variance, all differences are squared, so that negative differences do not compensate positive differences. Measures of Dispersion 174 Sample Variance 𝑠1 = ∑ 𝑥L − 𝑥̅ 1 𝑛 − 1 Heights of the 2008 US Men's Olympic Basketball Team 𝑥̅ = 1.5 + 2.5 + 3.5 − 0.5 + 4.5 + 1.5 − 2.5 − 6.5 + 2.5 − 0.5 − 2.5 − 3.5 12 = 0 𝑠1 = 117 12 − 1 ≈ 10.6 Why Variance?
  • 175. Paul Marx | Principles of survey research Which data set has a higher standard deviation? Measures of Dispersion 175 Standard Deviation 𝑠 = 𝑠1 Standard Deviation keeps the units of the original measure 𝜎 = 𝜎1 𝑠 = 10,6 ≈ 3.3 𝑠1 = 117 12 − 1 ≈ 10.6 square inches inches
  • 176. Paul Marx | Principles of survey research Relationship between the Standard Deviation and the Shape of the Normal Distribution 176 99,7% of the data are within 3 standard deviations of the mean 95% within 2 standard deviations 68% within 1 standard deviation © Dan Kernler
  • 177. Paul Marx | Principles of survey research 5.Data Analysis: A Concise Overview of Statistical Techniques 5.1 Descriptive Statistics: Some popular Displays of Data 5.1.1 Organizing Qualitative Data 5.1.2 Organizing Quantitative Data 5.1.3 Summarizing Data Numerically 5.1.4 Cross-Tabulations 5.2 Inferential Statistics: Can the Results Be Generalized to Population? 5.2.1 Hypotheses Testing 5.2.2 Strength of a Relationship in Cross-Tabulation 5.2.3 Describing the Relationship between Two (Ratio Scaled) Variables 177
  • 178. Paul Marx | Principles of survey research Cross-Tabulations 178 Cross-Tabulations Cross-Tabulations are tables that reflect the joint distribution of two (or more) variables with a limited number of categories or distinct values. • help to understand how one variable (e.g., brand loyalty) relates to another variable (e.g., sex) • a cross-tabulation table contains a cell for every combination of categories of two (or more) variables Examples: • How many brand-loyal users are males? • Is product use (heavy users, medium users, light users, and non-users) related to outdoor activities (high, medium and low)? • Is familiarity with a new product related to age and education levels? • Is product ownership related to income (height, medium, and low)?
  • 179. Paul Marx | Principles of survey research Cross-Tabulation 179 Education Own Expensive Automobile College Degree No College Degree yes 32 % 21 % no 68 % 79 % Column total 100 % 100 % Number of cases 250 750 Does education influence ownership of expensive automobiles? Ownership of Expensive Automobiles by Education Level
  • 180. Paul Marx | Principles of survey research Cross-Tabulation 180 Sometimes introducing a third variable can reveal spurious relationship suppressed association no change in initial relationship
  • 181. Paul Marx | Principles of survey research Cross-Tabulation 181 Does education influence ownership of expensive automobiles? Ownership of Expensive Automobiles by Education and Income Levels Low Income High Income Own Expensive Automobile College Degree No College Degree College Degree No College Degree yes 20 % 20 % 40 % 40 % no 80 % 80 % 60 % 60 % Column total 100 % 100 % 100 % 100 % Number of cases 100 700 150 50 Does it?
  • 182. Paul Marx | Principles of survey research Cross-Tabulation 182 Does age influence desire to travel? Desire to Travel Abroad by Age Ages Desire to travel abroad Less than 45 45 or more yes 50 % 50 % no 50 % 50 % Column total 100 % 100 % Number of cases 500 500 Male Female Desire to travel abroad < 45 ≥ 45 < 45 ≥ 45 yes 60 % 40 % 35 % 65 % no 40 % 60 % 65 % 35 % Column total 100 % 100 % 100 % 100 % Number of cases 300 300 200 200 Desire to Travel Abroad by Age and Sex
  • 183. Paul Marx | Principles of survey research Cross-Tabulation 183 Does family size influence frequency of eating in fast-food restaurants? Eating Frequency in Fast-Food Restaurants by Family Size Eat frequently in fast-food restaurants Family size Small Large yes 50 % 50 % no 50 % 50 % Column total 100 % 100 % Number of cases 500 500 Eat frequently in fast-food restaurants Low income High income Small Large Small Large yes 50 % 50 % 50 % 50 % no 50 % 50 % 50 % 50 % Column total 100 % 100 % 100 % 100 % Number of cases 250 250 250 250 Eating Frequency in Fast-Food Restaurants by Family Size and Income
  • 184. Paul Marx | Principles of survey research 5.Data Analysis: A Concise Overview of Statistical Techniques 5.1 Descriptive Statistics: Some popular Displays of Data 5.1.1 Organizing Qualitative Data 5.1.2 Organizing Quantitative Data 5.1.3 Summarizing Data Numerically 5.1.4 Cross-Tabulations 5.2 Inferential Statistics: Can the Results Be Generalized to Population? 5.2.1 Hypotheses Testing 5.2.2 Strength of a Relationship in Cross-Tabulation 5.2.3 Describing the Relationship between Two (Ratio Scaled) Variables 184
  • 185. Paul Marx | Principles of survey research 5.Data Analysis: A Concise Overview of Statistical Techniques 5.1 Descriptive Statistics: Some popular Displays of Data 5.1.1 Organizing Qualitative Data 5.1.2 Organizing Quantitative Data 5.1.3 Summarizing Data Numerically 5.1.4 Cross-Tabulations 5.2 Inferential Statistics: Can the Results Be Generalized to Population? 5.2.1 Hypotheses Testing 5.2.2 Strength of a Relationship in Cross-Tabulation 5.2.3 Describing the Relationship between Two (Ratio Scaled) Variables 185
  • 186. Paul Marx | Principles of survey research Hypothesis Testing 186 Hypothesis Testing Hypothesis Testing is a five-step procedure using sample evidence and probability theory to determine whether the hypothesis is a reasonable statement. In other words, it is a method to prove whether or not the results obtained on a randomly drawn sample are projectable to the whole population. Procedure: 1. State null and alternative hypothesis 2. Select a level of significance 3. Identify the test statistic 4. Formulate a decision rule 5. Take a sample, arrive at a decision "People are 'erroneously confident' in their knowledge and underestimate the odds that their information or beliefs will be proved wrong. They tend to seek additional information in ways that confirm what they already believed." Max Bazerman
  • 187. Paul Marx | Principles of survey research Hypothesis Testing 187 Sex Internet usage Male Female Row total light 5 10 15 heavy 10 5 15 Column total 15 15 n=30 Sex and Internet Usage Based on this sample: Q: Are there really more heavy internet users among males than among females in the general population?
  • 188. Paul Marx | Principles of survey research Hypothesis Testing 188 Step 1: State null and alternative hypothesis A null hypothesis ( 𝑯 𝟎) is a statement of status quo, one of no difference or no effect. An alternative hypothesis ( 𝑯 𝟏) is one in which some difference or effect is expected. 𝑯 𝟎: There is no difference between males and females w.r.t. internet usage. 𝑯 𝟏: Males and females expose different internet usage behavior. 𝐼𝑈` = 𝐼𝑈a 𝐼𝑈` ≠ 𝐼𝑈a
  • 189. Paul Marx | Principles of survey research Hypothesis Testing 189 Step 2: Select a level of significance Significance ( 𝜶) – probability of rejecting a true null hypothesis. 𝜷 – probability of accepting a false null hypothesis. Null hypothesis (𝐻0) is true Null hypothesis (𝐻0) is false Reject null hypothesis Type I error False positive Correct outcome True positive Fail to reject null hypothesis Correct outcome True negative Type II error False negative 𝛽 (1 − 𝛽) – power of test 𝛼 – significance
  • 190. Paul Marx | Principles of survey research Null hypothesis (𝐻0) is true Null hypothesis (𝐻0) is false Reject null hypothesis Type I error False positive Correct outcome True positive Fail to reject null hypothesis Correct outcome True negative Type II error False negative Hypothesis Testing 190 acquit a criminal convict an innocent Analogy: innocence in a criminal trial 𝐻0: the defendant is innocent Step 2: Select a level of significance Significance ( 𝜶) – probability of rejecting a true null hypothesis. 𝜷 – probability of accepting a false null hypothesis.
  • 191. Paul Marx | Principles of survey research Null hypothesis (𝐻0) is true Null hypothesis (𝐻0) is false Reject null hypothesis Type I error False positive Correct outcome True positive Fail to reject null hypothesis Correct outcome True negative Type II error False negative Hypothesis Testing 191 you continue your business near the bush but a lion is there there is no lion but you run away Analogy: Rustle in the bush – is it a lion? 𝐻0: there is no lion in the bush Step 2: Select a level of significance Significance ( 𝜶) – probability of rejecting a true null hypothesis. 𝜷 – probability of accepting a false null hypothesis.
  • 192. Paul Marx | Principles of survey research Hypothesis Testing 192 Levels of significance in marketing research 𝛼 – level of significance (1 − 𝛼) – level of confidence 0.01 (1%) 0.05 (5%) 0.99 (99%) 0.95 (95%) Step 2: Select a level of significance Significance ( 𝜶) – probability of rejecting a true null hypothesis. 𝜷 – probability of accepting a false null hypothesis.
  • 193. Paul Marx | Principles of survey research Hypothesis Testing 193 Step 3: Identify the test statistic Sample Application Level of scaling Test/Comments One Sample Distributions Non-metric Kolmogorow-Smirnow and χ2 test for goodness of fit; Runs test for randomness; Binomial test for goodness of fit of dichotomous variables Means Metric t test, if variance is unknown z test, if variance is known Proportions Metric z test Two Independent Samples Distributions Non-metric Kolmogorow-Smirnow two-sample test for equality of two distributions Means Metric Two-group t test F test for equality of variances Proportions Metric
Non-metric z test χ2 test Ranking/Medians Non-metric Mann-Whitney U test is more powerful than the median test Paired Samples Means Metric paired t test Proportions Non-metric McNemar test for binary variables, χ2 test Ranking/Medians Non-metric Wilcoxon matched-pairs ranked-signs test is more powerful than the sign test
  • 194. Paul Marx | Principles of survey research Hypothesis Testing 194 Step 3: Identify the test statistic Sample Application Level of scaling Test/Comments One Sample Distributions Non-metric Kolmogorow-Smirnow and χ2 test for goodness of fit; Runs test for randomness; Binomial test for goodness of fit of dichotomous variables Means Metric t test, if variance is unknown z test, if variance is known Proportions Metric z test Two Independent Samples Distributions Non-metric K-S two-sample test for equality of two distributions Means Metric Two-group t test F test for equality of variances Proportions Metric
Non-metric z test χ2 test Ranking/Medians Non-metric Mann-Whitney U test is more powerful than the median test Paired Samples Means Metric paired t test Proportions Non-metric McNemar test for binary variables, χ2 test Ranking/Medians Non-metric Wilcoxon matched-pairs ranked-signs test is more powerful than the sign test ! In our example, we deal with one-sample distribution of a non-metric variable (light or heavy internet usage)
  • 195. Paul Marx | Principles of survey research Hypothesis Testing 195 Step 3: Identify the test statistic χ2 (chi-square) statistic for goodness of fit is used to test the statistical significance of the observed association in a cross-tabulation 𝐻0: There is no association between the variables χ2 (chi-square) tests the equality of frequency distributions. Which distributions/frequencies should we test? 𝑓 𝑒 – cell frequencies that would be expected if no association were present between the variables 𝑓 𝑜 – actual observed cell frequencies
  • 196. Paul Marx | Principles of survey research Hypothesis Testing 196 Step 3: Identify the test statistic 𝑓h = 𝑛4 𝑛2 𝑛 𝑛4 – total number in the row 𝑛2 – total number in the column 𝑛 – total sample size 𝑓hi,i = 15 j 15 30 = 7,5 𝑓hi,k = 15 j 15 30 = 7,5 𝑓hk,i = 15 j 15 30 = 7,5 𝑓hk,k = 15 j 15 30 = 7,5 𝑓 𝑒 – cell frequencies that would be expected if no association were present between the variables 𝑓 𝑜 – actual observed cell frequencies
  • 197. Paul Marx | Principles of survey research Hypothesis Testing 197 Step 3: Identify the test statistic In our example: 𝜒1 = (mno.m)k o.m + (Hpno.m)k o.m + (Hpno.m)k o.m + (mno.m)k o.m = 0.833 + 0.833 + 0.833 + 0.833 = 3.333 𝜒1 = r (𝑓3 − 𝑓h)1 𝑓hall cells 𝑓 𝑒 – cell frequencies that would be expected if no association were present between the variables 𝑓 𝑜 – actual observed cell frequencies
  • 198. Paul Marx | Principles of survey research Hypothesis Testing 198 Step 4: Formulate a decision rule 𝑻𝑺 𝒄𝒂𝒍 – observed value of the test statistic. 𝑻𝑺 𝒄𝒓 – critical value of the test statistic for a given significance level. If probability of 𝑻𝑺 𝒄𝒂𝒍 < significance level (𝜶), then reject 𝑯 𝟎. or If 𝑻𝑺 𝒄𝒂𝒍 > 𝑻𝑺 𝒄𝒓 , then reject 𝑯 𝟎.
  • 199. Paul Marx | Principles of survey research Hypothesis Testing 199 Step 4: Formulate a decision rule If probability of 𝑻𝑺 𝒄𝒂𝒍 < significance level (𝜶), then reject 𝑯 𝟎. or If 𝑻𝑺 𝒄𝒂𝒍 > 𝑻𝑺 𝒄𝒓 , then reject 𝑯 𝟎. 𝑑𝑓 Table of critical values of χ2 for different levels of significance 𝛼 𝑑𝑓 – degrees of freedom 𝑟 – number of rows 𝑐 – number of columns 𝑑𝑓 = 𝑟 − 1 𝑐 − 1 𝑑𝑓 = 2 − 1 2 − 1 = 1 𝜒2|} 1 = 3.333 𝜒24 1 = 3.841 3.333 < 3.841 𝜒2|} 1 < 𝜒24 1 𝐻0 cannot be rejected
  • 200. Paul Marx | Principles of survey research Hypothesis Testing 200 Step 5: Arrive at a decision Is the evidence there? What are the consequences? • 𝑯 𝟎 of no association cannot be rejected • Association is not statistically significant at the .05 level • The findings from the sample cannot be generalized to population
  • 201. Paul Marx | Principles of survey research Hypothesis Testing 201 Sex Internet usage Male Female Row total light 5 10 15 heavy 10 5 15 Column total 15 15 n=30 Sex and Internet Usage Based on this sample: Q: Are there really more heavy internet users among males than among females in the general population? A: The sample doesn’t provide such evidence. If the sample was chosen and drawn appropriately, then we can state that there is no such relationship in the population at the 95% confidence level. Otherwise - we don’t know.